{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "134e7f9d",
   "metadata": {},
   "source": [
    "# Demo 1: Indexing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2075ef56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan import *\n",
    "\n",
    "model = KAN(width=[2,3,2,1])\n",
    "x = torch.normal(0,1,size=(100,2))\n",
    "model(x);\n",
    "beta = 100\n",
    "model.plot(beta=beta)\n",
    "# [2,3,2,1] means 2 input nodes\n",
    "# 3 neurons in the first hidden layer,\n",
    "# 2 neurons in the second hidden layer,\n",
    "# 1 output node"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c47ccd2b",
   "metadata": {},
   "source": [
    "### Indexing of edges (activation functions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8c30add2",
   "metadata": {},
   "source": [
    "Each activation function is indexed by $(l,i,j)$ where $l$ is the layer index, $i$ is the input neuron index, $j$ is the output neuron index. All of them starts from 0. For example, the one in the bottom left corner is (0, 0, 0). Let's try to make it symbolic and see it turns red."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c95dbc78",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9989787936210632\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bf721202",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9872174263000488\n"
     ]
    },
    {
     "data": {
      "image/png": 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SgoeHB2bNmoXRo0d/8urEOjo6tN+GkppPrQNAdT3IycnBpUuXcPjwYdy5cwfZ2dkQCARQU1ODhYUFPv/8c8ybNw8ODg6fnGRoHZAOmlzkiFAoREZGBo4fP469e/fi8ePHKC8vh6amJuzs7NC+fXtYWFigqKgICQkJiIqKwuTJk3Hnzh2sWrUKurq6bB8CRX0yUR9NUVERwsPDcejQIZw+fRppaWlgGAZmZmbo0aMHrKyskJ6ejgcPHuDPP//EkSNHsHTpUkyYMAEaGhq0aUtO0OTCMkII+Hw+oqKisG3bNhw/fhyZmZngcrnw8vLC559/jv79+8PNzQ06OjriilNeXo7Lly9j5syZ2LJlCzgcDtatWyf37dsUJSJKJhUVFcjMzMSDBw9w/vx5XL58Gc+fPwefz4eRkRF8fX3xxRdf4LPPPoOZmRk4HA6EQiGSk5OxZs0a/P3335gxYwYuX76M5cuXw9HREQDtoGcbvRKxhBCC0tJSXL16FRs3bsSVK1dQWloKExMTTJgwARMnTkTbtm3B4/HqrSQ8Hg/9+/fHyZMn0b9/f2zbtg1du3bFiBEjaKWi5IpAIACfz0dFRQVev36NjIwMJCcnIz4+HrGxsYiOjkZSUhIKCwtBCIG+vj46deqEoUOHYsCAAbC3tweHw6lVrtXU1ODk5IQ1a9Zg0KBBmDNnDg4ePIgrV66gX79+aNeuHQYOHAhbW1taH1hCk4sMEUJACEFKSgqOHTuGvXv3IioqCgKBAE5OThg/fjzGjBmDxo0bg2GY91YKhmHg5eWFtWvXYuTIkVi8eDF69+4NY2NjGR0RRb1bYWEhhgwZgpSUFBQUFKCgoAAlJSWoqqoCUF2GeTwebGxs0L9/f/Ts2RNdunSBvb09uFzue+uAmpoaevfujcuXL+O3337Dvn37sHv3buzatQsrV67EgQMH0LZtW5pgWECTiwwQQlBcXIzbt29j165dOH/+PHJzc6GpqYm2bdti2rRpGDhwIIyMjD66EjAMg4EDB2LAgAEIDg7Gtm3bsHDhQlqZKLmgpqaGyMhI5ObmQltbG1ZWVrC1tYWTkxNcXFzEf2xtbaGtrf1BN1VvYhgGVlZWWLNmDebNm4eIiAgEBwdj//79mDZtGq5fvw59fX0pHSH1NjS5SFFVVRVu3ryJEydOIDQ0FHFxcRAIBLC0tMS0adMwbtw4tGrVCpqamg1KBurq6li8eDHOnTuHTZs2YerUqTA0NJTcgVDUJ+LxeDhz5gw0NTWhp6cHbW1taGpqikdnSfImiMPhwMHBAQ4ODhg4cCCysrJw6dIlnDp1CqNHj6Y3XDJGk4sU5eXlYfr06cjJyYG2tjbat2+P8ePHY+DAgbCwsPiku7T6MAyD5s2bo0ePHjh9+jQuXLiAYcOG0cpEsY7D4bCyFpimpiZmz56Ny5cvY/fu3Rg5ciTU1NRkHocqo8lFikxNTTFmzBhYWVmhX79+cHNzk9pQSQ6HgylTpuD06dPYvn07hgwZQisTpbIYhkGXLl1gY2ODO3fuICMjg249IWM0uUiRmpoaVq9eLbEnlHdhGAbdu3eHvb09bt68icTERLi6ukr1OylKnunr66NLly7Yt28fwsLCaHKRMTotVcreHEIpTXp6ehg+fDhKSkpw5MgRhVs4kKIkrWfPngCAK1eu0PogYzS5KBGGYTBq1ChoaGjg8OHDqKysZDskimINwzBo3749NDU1cevWLfD5fLZDUik0uSgZLy8veHp64unTp3j69Cnb4VAUq+zt7WFtbY3ExETk5uayHY5KoclFyWhoaGDo0KGorKzEsWPHaFMApdJ4PB6aNm2KoqIixMTEsB2OSqHJRckwDANfX19oamoiJCQEFRUVbIdEUaxq3749hEIhwsLC6M2WDNHkooTc3Nzg6emJ2NhY2jRGqTSGYdCmTRswDIP79++zHY5KoclFCXG5XHz++eeorKxEcHAwvVujVJpoRfGoqCg6yEWGaHJRQjWbxoKDg2nTGKXSzM3NYWNjg/T0dGRnZ7MdjsqgyUVJiZrGYmJi8OTJE7bDoSjWaGhowMvLCyUlJYiLi2M7HJVBk4uSEo0aq6qqwtGjR2nTGKXS2rRpA0IIIiIiaF2QEZpclBTDMPDz84OWlhaOHz+OsrIytkOiKFYwDIPWrVuDYRiEhYWxHY7KoMlFibm6usLb2xvx8fEIDw9nOxyKYo2bmxu0tbURGRlJO/VlhCYXJaauro4xY8ZAIBBg165dtDmAUlnm5uawtbVFeno6Xr16xXY4KoEmFyUmGjVmbGyMU6dO0UpFqSwNDQ20aNECJSUliI6OZjsclUCTi5KzsrJC37598erVK5w4cYI+vVAqq3PnziCE4NatW7QeyABNLkqOw+Fg8uTJUFNTw/bt21FVVcV2SBQlcwzDoF27dlBTU8Pt27dpcpEBmlxUQPv27eHl5YUHDx7gwYMHbIdDUaxwdnaGiYkJnj59itevX7MdjtKjyUUFaGlpYdKkSaiqqsLff/9N79oolaSvrw9PT0/k5OTQyZQyQJOLCmAYBsOGDYORkRFCQkLoEhiUSuJwOOjWrRsEAgGuX79Ob7KkjCYXFWFtbS3u2A8NDaUVi1I5DMOge/fu4HA4uHjxIq0DUkaTi4pgGAYTJ04Eh8PB7t27IRAI2A6JomSuSZMmMDU1xcOHD5Gfn892OEqNJhcVwTAMOnbsCAcHB9y/fx9JSUlsh0RRMmdoaIhWrVohNzcXjx8/ZjscpUaTiwrR0dGBr68vSktLERISQpsFKJXDMAz69u0LoVCIs2fP0jogRTS5qBCGYTB8+HCoq6vj2LFj4PP5bIdEUTLFMAx69OgBTU1NXLx4kc77kiKaXFRMs2bN4OjoiMjISLx48YLtcChK5pycnODg4IDY2FikpKSwHY7SoslFxfB4PPj4+KC0tBSXLl1iOxyKkjktLS306NEDpaWluHbtGtvhKC2aXFQMwzAYNGgQGIahQ5IplcQwDPr370/rgJTR5KKCvL29YWJigvv376OgoIDtcChK5tq0aQMjIyPcu3cPhYWFbIejlGhyUUHGxsbw9vZGdnY2XX6cUkkmJibw9vZGVlYWoqKi2A5HKdHkooIYhoGPjw/Mzc2RmprKdjgUJXMcDgf9+vWDmZkZHdgiJepsB6DMwsPDwTAM22HUy9LSEsuXL4empiZevnzJdjiUkpLnOmBhYYFffvkFWlpayMjIYDscpUOTi5Q0bdpUrvfq5vF44r+3atWKxUgoZUXrgGpjCB0qQVEURUkY7XOhKIqiJI4mF4qiKEriaHJREA8ePADDMHSbYkql0XqgOGhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJheKoihK4mhyoSiKoiSOJhcFQAhBfn4+ACA/Px+EEJYjoijZo/VAsdDkIscKCgqwdu1auLi4oFevXgCAXr16wcXFBWvXrkVBQQG7AVKUDNB6oJgYQtO/XDp37hyGDh2K0tJSAKh1l8YwDABAW1sbR48eRZ8+fViJkaKkjdYDxUWTixw6d+4cBgwYAEIIhELhW9/H4XDAMAxCQ0NpxaKUDq0Hio0mFzlTUFAAW1tblJWVvbNCiXA4HPB4PKSlpcHQ0FD6AVKUDNB6oPhon4uc2bVrF0pLSz+oQgGAUChEaWkpdu/eLeXIKEp2aD1QfPTJRY4QQuDi4oKkpKSPGgnDMAwcHR0RHx8vboemKEVF64FyoMlFjuTk5MDMzKxBP29iYiLBiChK9mg9UA60WUyOFBcXN+jni4qKJBQJRbGH1gPlQJOLHNHV1W3Qz+vp6UkoEopiD60HyoEmFzliYmICJyenj24vZhgGTk5OMDY2llJkFCU7tB4oB5pc5AjDMJg1a9Yn/ezs2bNpJyalFGg9UA60Q1/O0PH9FEXrgTKgTy5yxtDQEEePHgXDMOBw3v3rEc1MPnbsGK1QlFKh9UDx0eQih/r06YPQ0FDweDwwDFPnMV/0bzweD6dPn4aPjw9LkVKU9NB6oNhocpFTffr0QVpaGtasWQNHR8darzk6OmLNmjVIT0+nFYpSarQeKC7a56IACCG4cuUKevbsiUuXLqF79+6005JSObQeKBb65KIAGIYRtyUbGhrSCkWpJFoPFAtNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLhRFUZTE0eRCURRFSRxNLnJOKBQiLy8PKSkpAICMjAyUlJSwHBVFyRatB4qHbnMsp8rLy3H58mXs3r0bYWFhePXqFYqLi2FgYAAHBwf4+PhgwoQJ8PDwoDvyUUqL1gPFRZOLHEpKSsKiRYsQGhoKa2trdO/eHS1btoS+vj5yc3MRHh6OK1euoKqqCvPnz8fs2bOhra3NdtgUJVG0Hig2mlzkzNOnTzF69GikpqZi3rx5mDJlCvT19fHw4UPw+XxoaWmhRYsWyMjIQFBQEHbs2IEvvvgCq1evphWLUhq0HigBQsmNnJwc0qlTJ2JqakqCg4MJn88nhBCSmJhITE1Nibq6OnFxcSF5eXlEKBSSyspKsmnTJqKvr0+WLl1KBAIBy0dAUQ1H64FyUGc7uVH/2bhxI8LDw7Fu3ToMGjQIHM5/4y2qqqrA5/PB5/MBAAzDgMvl4quvvkJqairWrVuHgQMHwtvbm63wKUoiaD1QDnS0mJx49eoVduzYgQ4dOmDMmDG1KtS7qKurY/bs2TA3N8fWrVtBaCsnpcBoPVAeNLnIibCwMKSmpmLs2LHQ0tKCQCCo9UeEEFLnNVNTUwwZMgQXL15EQUEBewdBUQ1E64HyoM1icuLhw4fQ0NCAt7c3AgICEB0dLX6trKxMPKY/KysLo0aNgrr6f786f39/dOrUCevXr0d6ejqMjIxkHj9FSQKtB8qDJhc58erVK2hpacHAwAD37t3DzZs3631fWVkZLl26VOvfBgwYgI4dO0IoFNI7Nkqh0XqgPGhykROampoQCoXg8/ngcDh12pqFQqH472++xjAMKisrIRAIcOfOHZibm8PBwQFcLlcmsVNUQ+Tm5iI2NhYxMTG4e/cuBAJBg+oBAFr25QBNLnLCyckJJSUlSEtLQ2BgIPLz88WvZWRkYPbs2SgpKYGFhQXWr18PXV1d8eseHh64du0aysvLsWjRIixatAjq6upwdnaGu7s73N3d4ebmJv67oaEhC0dIqTI+n4/k5GTExMQgJiZGnExiYmKQk5MDoDo5GBsbN7geaGlpwcLCQubHSNVGk4ucaNasGRiGwdmzZ7FixYpad2VJSUnitmVtbW306tWrVnsyn89HaGgoOnXqhN27d9eqxDExMdi/fz9evHghfr+FhUWtZCNKPvb29lBTU5PdQVNK5/Xr14iNja2VPGJiYpCQkCB+qtDR0RGXOR8fH3EZdHZ2xvXr1zFo0KAG1QMPDw9YWVnJ9sCpOmhyYVlOTg7+/PNPrF+/HhUVFdi/fz+mTJkCZ2fnD1oriRCCe/fu4ezZs9DW1sbVq1cxZswYdO/evdb7SkpKEB8fX+uu8f79+9izZw/KysoAVDfNubq61nnScXNzq3WHSKk2oVCI1NTUWslDVKYyMjLE77O1tYW7uzt69OiBGTNmiMuUjY1NnbIdExODmTNnYvfu3QDQoHpgY2ODmzdvokePHnS9MRbR5V9Y8uLFC6xevRrbtm0DIQSTJ09Gu3bt4O/vj169emHHjh3Q19cHwzBISkqCt7c3Xr9+DQcHB0RERMDIyAiEEGRkZGD48OEoKCiAvb09zpw5AxsbG8ybNw9Tp06Fnp7eO+MQCoVIS0ur90Lx8uVL8ftsbGzqPOm4u7vD1taWVmAlVVJSgri4uDrNWHFxceIbEi0trXpvSFxdXT/ohuTu3bsIDAxESEgIrKysMG/ePLi6umLs2LGfVA+ysrKgra2NqKgotGrVCgEBARgyZAh9ImcDSysDqKyoqCgybtw4oqamRoyNjcmPP/5IsrOzCSGE8Pl8smzZMqKlpUVGjRpFUlNTiVAoJMnJycTNzY1YWVmRdu3akYKCAiIUCklMTAzp1asXsba2Jrdu3SKEEPLkyRMyceJEoq6uTgwNDcn//vc/kpWV9Umxvn79mty/f5/s2bOH/O9//yNDhw4lXl5eRENDgwAgAIiOjg7x9vYmo0ePJkuXLiUHDx4kjx8/JqWlpRI7Z5T0CIVCkpaWRi5dukT++usvMmvWLNK7d2/SqFEj8e8YALG0tCRdu3Yl06ZNI0FBQeTMmTMkKSlJvDTLx37n6dOnSdeuXQkA4ubmRrZt20bKy8sJIQ2vB0KhkJw/f5706NGDACDOzs5k8+bNpKysTNKnj3oH+uQiA4QQ3Lx5E4GBgQgNDYWdnR0WLFiAr776qs7dXUVFBVasWIHff/8djRo1gr+/P3x8fKCpqQk1NTUIBAIUFxcjJCQEW7ZsAZfLxebNm9GzZ89an5OWloagoCBs3rwZAoEAkyZNwjfffANHR8cGH49AIHhr52x2djaA6s5Ze3v7egcUWFhY0KcdGSsvL0dCQkK9v7Pi4mIA1SOs6hsE4ubmJpFBIHw+HwcPHsTKlSsRGRmJtm3b4ttvv4Wvr2+dkV+SqgdhYWFYuXIljh49CnNzc8ydOxf+/v4wMDBo8PFQ70aTixQJhUKcOnUKK1aswJ07d+Dl5YWAgACMGjXqnUMlBQKBuEMzIiICPB4PVlZW0NHRQVFREV6+fAk1NTX4+fnhu+++g7Oz81s/Ky8vDxs2bMC6deuQm5uLESNGICAgAC1atJDCEVd/35udubGxsUhISBDPsDYwMKjTpyPq0NXQ0JBKXKqAEILs7Ox6E0hycrJ4GK+xsTE8PDzqDOpwcHCoNSlRUkpLS/H333/jjz/+QHJyMvr27YuAgAB07dr1nTcZkqwHcXFxWLVqFXbt2gVNTU34+/tj7ty5tONfimhykYLKykr8888/+P333/H06VN07twZAQEB6N+//wevlQRUV8rw8HDcuHED8fHxKCsrg4mJCZo3b45u3brB2dn5g9uSy8rKsGPHDvz+++9ITk6Gj48PAgIC0L17d5k8RVRWViIpKanORS8mJkY84U1NTQ2Ojo71jmQzNTWVeoyKoqqqComJifUmcdHQXQ6HA0dHx3r7yWR1LnNzc/HXX39h/fr1yMvLw6hRo7Bo0SI0b978oz5HkvUgIyMDa9euxcaNG1FeXo7x48dj4cKFcHV1/ZRDpN6BJhcJKioqwtatWxEUFIS0tDQMGjQIAQEB6NSpk0Q+nxDS4ETA5/Nx+PBhBAYG4vHjx2jTpg0CAgLg5+fHSqfnm3fbNZPP8+fPxQsQmpiY1NvEJq27bXnw5lOg6O+JiYniVYH19fXrTSBOTk7Q1NRkJe7U1FSsXr0aW7duhUAgwFdffYUFCxbAwcFBIp8viXrw+vVrbNq0CWvWrEFWVhY+//xzBAQEoG3bthKJkaLJRSKys7Oxbt06/PXXXygqKsKYMWOwcOFCeHl5sR3aWxFCcP78eQQGBuLKlStwcXHBwoULMX78eNYuSm96s5+g5gX2bf0EoguspPoJpK1m/9WbTyL19V+9+VQnT/1XT548wcqVK/HPP/9AT08PM2fOxKxZs2BmZsZ2aG9VXl6OPXv24Pfff0d8fDy6d++OgIAA+Pj4yM15VVQ0uTTA8+fP8ccff2D79u1QU1PDlClTMH/+fNjZ2bEd2ke5f/8+AgMDcfz4cVhaWmLu3LmYNm2a3HZ6EkLw8uXLei/Iqamp4vdZWlrWe0Fu1KjRRzVPSkJRUVG9zVhxcXHiyYXa2tr1Ngm6uLjI9e6Kt27dQmBgIE6ePAlbW1vMnz8fU6ZMUai5UQKBAMHBwVixYgXCw8PRokULBAQEYNiwYUr7ZCxtNLl8gsePHyMwMBCHDh2CkZERZs+eja+//hrGxsZsh9YgsbGxWLVqFXbv3g0tLS34+/tjzpw5CtXpWXNuRs3kExsbi/LycgC152bUTD4fOjfjbT5lzlDNZGJjYyPzpPephEIhQkNDERgYiFu3bsHT0xOLFi3C6NGjFXpQBiEEV65cQWBgIM6fPw8HBwd88803mDRpEng8HtvhKRSaXD4QIQRXr15FYGAgzp07h8aNG4sLnTzfVX6Kly9fYs2aNdi0aRMqKiowYcIELFy4EC4uLmyH9smEQiFSUlLqfXqob1b5mxf/mrPKS0tL651cGBsbW2e1gzefRFxdXd87sVWeVVVVYf/+/Vi5ciWePHmCjh07IiAgAAMHDlSYxPihHj58iJUrV+LQoUMwMTER30TSpfw/kKwm1CgqgUBAjh49Stq2bUsAkGbNmpF9+/aRqqoqtkOTuvz8fPLbb78RCwsLwjAMGTZsGAkLC2M7LIkrKCgg9+7dI7t27SLff/89GTJkCPH09CRcLlc8iZDL5RJ9fX2ira1da3Khubk56dKlC5k6dSpZvXo1CQ0NJYmJiZ80uVCeFRUVkaCgIGJnZ0cAkIEDB5IbN26wHZZMJCQkEH9/f6KlpUV0dHTI/PnzSWpqKtthyT3lutWQoIqKCmzbtg0eHh4YOnQoeDweTp8+jUePHuGLL75QiXZYQ0NDfPvtt0hOTsbGjRvx8OFDtGnTBr169cKFCxeUYivZiooKpKWlITU1tc6fqqoqANXDeg0NDWFkZARjY+NaTWfZ2dn1/mxOTo5SnJ+cnBz89NNPsLe3x8KFC9GtWzdERUXh5MmT6Ny5M9vhyYSTkxM2bNiA5ORkzJkzB3///TccHR0xadIkPHv2jO3w5BZtFntDYWEhNm/ejKCgIGRmZsLPzw8BAQFo164d26GxTiAQ4NixYwgMDERERARatmyJgIAADB06VK6TLSEEOTk59Q4AeP78uXhyoZGR0VsnF7456bXmHiQ1m8USExPFk0UNDQ3r7aB3cnKS+36J5ORk8WAVhmHEg1UaNWrEdmisKyoqwpYtWxAUFIT09HT4+voiICAAHTp0YDs0uUKTy78yMzPFk6tKS0vFk6vc3NzYDk3uEEJw+fJlrFixAhcvXoSjoyMWLlyICRMmsNrpWVVVhefPn9fboZ6Xlweg+inEwcHhrZMLGzr8tLKyEomJifUmstevXwOonizq5ORU70g2tgeFREZGYuXKlThw4AAMDQ0xa9YszJw5EyYmJqzGJY8qKyuxb98+BAYGIjY2Fp999hm+/fZb9OvXjw5jBk0uSEhIwKpVq7Bz505wuVxMnz4dc+fOhY2NDduhKYSIiAisXLkSR44cgampKebMmYMZM2ZIdY5Jfn5+rVFgNfcMEU0u1NPTq3dElrOzMyvzeAghePXqVb2JLzk5WdyEZmpqWm/ia9y4sdSeDgkhuH79OgIDA3HmzBnY29tjwYIF+PLLL6GjoyOV71QmQqEQJ06cQGBgIO7evYumTZti0aJFGDlypErviKmyySUiIgKBgYE4evQoTE1NxQvaKcLEO3n0ZpKeNm0a5s2b98lJWiAQ4MWLF/U2PWVlZYnfZ29vX2/Tk5WVlcLcPZaVlSE+Pr7eYy0pKQEAaGhowMXFpd5j1dfX/6TvFQqFCAkJQWBgIO7du0cvig1ECMGNGzcQGBiI06dPo1GjRuIFalUxSatUciGE4NKlSwgMDJSr5hxlkpmZiXXr1mHDhg0oLS3FuHHjsHDhQri7u9f7/uLi4nqXOImLi0NFRQUAgMfj1bvQpYuLi1JXWkII0tPT612IMi0tTfw+Kyurep/S7Ozs6h0eXFlZib179+L3339HTEwMunTpgoCAANqcI0G0eVFFkotAIMDRo0excuVKcUf0t99+i6FDh9JNhKTkzYERPj4+6N+/PxiGqXWRTE9PF/+MtbV1vf0Qtra2SjeHoqGKi4trTRYVJZ/Y2NhaSbnmZFF7e3tERUVh//79yMzMpB3RMvDmwIjJkydj/vz5sLe3Zzs0qVPq5FJeXo5du3Zh1apVSEhIQM+ePREQEIBevXrROzQpKCsrQ1xcXK3k8fTpUzx79ky8xAnDMLCzs0Pr1q3h4eFRay2wT23eof4jEAiQkpJS60knMjISkZGR4iY2oPppp0mTJnWa2KytrWndkILs7Gz8+eef+PPPP/H69Wt88cUXWLRoEZo0acJ2aFKjlMmloKAAGzduxNq1a/Hq1SsMGzYMixYtQuvWrdkOTeERQpCVlVVvx/SLFy/EHdNmZma1Llqurq5IS0vDjh07EBYWhmbNmonb9+V5GLMiS0xMxKpVq7Bjxw5wuVyMHz8effv2RV5eXq3fW0JCgnhOj66u7lsHQmhpabF8RIqvuLgY27dvxx9//IHU1FQMGDAAAQEB6Ny5s9IldaVKLm8uWzJx4kR88803Cr1sCVsqKyvFKxK/2dFcWFgIoHpIrWhF4jf7RN42pJYQgmvXriEwMBBnz55F48aNxSOTlG0ZHbY8fPgQgYGBOHz4MExMTMQj+N62bIloCPebfV/Pnj2rNYS7cePG9Y5kMzMzU7oLo7S9uYxOhw4d8O233yrVMjpKkVxiY2Px+++/Y8+ePdDS0sKMGTMwZ84cWFpash2a3MvJyal3lFJSUlKtyYA1LyqiC4ujo2ODJgM+evQIK1euxMGDB2FsbIxZs2bh66+/VqlOT0kRzT0KDAzEhQsXJLbg4tsmnyYlJdWafFpfX5mjoyMddfYeQqEQp0+fRmBgIG7evAlPT08sXLgQX3zxhdxPtH0fhU4u9+7dQ2BgIIKDg2FhYYF58+bJ9VLxbOHz+bUmF9a8UOTm5gKo7gupObmw5oVC2nemyrJ1ARsEAgGOHz+OwMBAmS4VX1FRIZ4s+maZEj3ZqquriyeLvlmm6OKPdb25dcG8efMwZcoUhV3oVOGSCyEE586dQ2BgIK5evQoXFxcsWrQI48aNk5tNrthSUFDw1smFb7apv3mXKQ9t6q9evcL69evFm66JOj3ledM1tpSXl2P37t1YtWqVXG1yRQhBZmZmvU/DNfvkzM3N6x1e3rhxY5Ufwfnmpmtff/01Zs+eLdebrtVHYZKLvG3PyxahUPjWyYWZmZni99nZ2dXbPq4Io4GKi4uxdetWrF69WirbRSuyN7fnHTJkCAICAtCmTRu2Q3uv0tJSxMfH17tVQWlpKYDqrQreNllUUe/gP1VKSgqCgoKktl201ElptWWJCg0NJQ4ODgQA6dOnD7l8+TIRCoVshyVT/v7+pFmzZkRLS0u83LuWlhZp3rw5GTlyJPnpp5/IP//8Qx48eECKi4vZDlciKioqyM6dO4mHhwcBQDp16kTi4+PZDos1K1asIPr6+kRDQ4NMnjyZxMbGsh2SRAgEApKSkkLOnz9P1q1bR2bMmEF69uxJbGxsam1vYG1tTXr06KEyS/2L5ObmkmXLlhFTU1OipqZGRo8eTSoqKtgO672k8uQihY+UKmncyav6OZDk8Ys+ixAChmGk8vuiZUC+y4AsyHsZqFkPpDWiTJLnQCo9fsnJydi/f7/cz18ghMDLywsDBgyQeMFS9XOg6scP0HOg6scPqPY5kMoRp6amwtTUFFwuF+Xl5dDS0oKpqSlsbGxgbGwsN30kBQUFOHToEAYMGCDxz05NTYWlpSVev36Nxo0bo0mTJqx3mNdHWudAdPy9e/eW6OeKFBcXIywsTDwM9lPPbUFBAQ4fPizVMiCtc9BQT58+RUJCAjw9PXH58mWFKwMNFR0djeTkZLi4uODatWsqWQZqnoPr169L9BxILZ1qa2tj4cKFyMrKAsMwUFdXh7GxMby9vTFmzBj0798fBgYGrHYu6+joSHXCkpqaGlatWoW8vDw0a9YMo0aNgq+vL+zt7cHhcOSiY12a58DU1FTiw4kJIcjOzsaXX36Jq1evQl1dHb6+vti+ffsnLWIp7TIgjXMgCYQQrFu3DqtXr8bKlSsVqgxIAiEE69evx6pVq7B27VqVLQN//vknVq1ahaCgIImfA6mdUQ0NDYwaNQpffvklRo4cifbt24PD4eDs2bMYN24cPvvsMxw4cAAVFRUK1zb7odTU1DB9+nS4u7vj0aNHmD9/Ptq0aYNRo0bh5MmTeP36tdIeu7Tw+XzMmzcPly5dgpeXF2xsbHD48GGsX7+ensuPIBAIcOPGDaipqansskgJCQkAoBKLSL7Ns2fPwDAMnJycJP7ZUksuWlpaWL16NbZu3Yp9+/bh0qVLePToEY4cOYLevXsjNjYW48ePx7hx45CSkqKUFwZ9fX388MMPuHXrFi5evIhp06aBx+Ph6NGjGDJkCNq2bYtly5bV2mqXejtCCEJDQ3H48GG4uLggNDQUBw8ehK6uLtauXVtrKDb1bqKZ99bW1nB0dGQ7HJkT7RekqampshsDVlVVISkpCTweTypPVlJdxEY0skfULGZmZgY/Pz+cOHFCfIE4fPgwevbsiatXryplgmEYBtra2ujcuTM2btyIiIgI7Nq1Cz169EBaWhqWLFmCtm3bYsGCBbUmmVF1lZWV4eeffwYhBL/99husra3RsmVLDB06FFlZWTh06BA9fx/o8ePHKCwsRKtWrVRyTbeysjJkZmZCX1+f9a2l2VJUVITMzEyYmJhI5RzIfIU0hmGgoaGBwYMH4/Lly5gwYQKSk5Px+eefY+fOneL1rJSNKMlaWFhg7NixCA0Nxc2bN+Hv7w9CCNasWYNOnTph48aNKCsroxfJNxBCcOLECTx+/BgdO3YUj2rhcDiYPHky1NXVsW/fPvFKBNTbkX8XDyWEoHv37nLR9ydrBQUFKCgogLm5uUomV6B6Y7+ioiI0atRIKoONWFt+k2EYWFpaYsuWLVixYgWqqqrg7++PVatWKf0FgmEYcLlctGzZEn/++Sfu3LmDqVOnIj8/H7Nnz8bo0aORlpZGE0wN5eXlWL16NRiGQUBAQK1F/Vq2bAlXV1dER0cjMTGRxSgVg1AoxI0bN6Curo6OHTuyHQ4rMjMzUV5eDjs7O7kfJiwtiYmJqKqqgpubm1QGNLC+trOGhgbmz5+PHTt2QFtbGz/88AOWLVsm3lxK2XE4HLi4uGDDhg04deoUPD09ERISgj59+uDBgwc0weC/7akfPnyI1q1bo0ePHrXutrW0tNC3b1+Ul5fj4sWL9Jy9R15eHp49ewYLCws4OzuzHQ4rkpOTIRQK4eTkpJJPboQQxMTEAAA8PDyk8h2sJxeg+gI7fPhw7N+/H0ZGRvjtt9+wZMkSlUkwQPXIsm7duuHChQsYOXIkYmNj4evrixs3bqj8xbKqqgqrV68GIQRz586ts0ApwzDo168fOBwOzp8/r/Ln632ePn2K/Px8NG/eHLq6umyHwwrRE66qJlegeqQYALi7u0vl8+UiuQDVFwgfHx8cOnQIpqamWLlyJZYvX670TWQ1MQwDc3Nz7NixA3PmzEFmZiaGDx+O69evq+wFkxCCmzdv4tatW/Dy8sLAgQPrvdNs1qwZjIyM8PDhQxQXF7MQqWIghODGjRsQCoXo0qWLyt61x8fHA4BUhuAqAqFQiLi4OGhoaEhttKDcJBeg+uLatWtXHDhwAMbGxvj1118RFBSktJ389WEYBjweDytWrMC3336L3NxcjB49Gvfv31fJBFNVVYXffvsNfD4fc+bMeWvnq7GxMTw8PPDq1Sva7/IOouTC4XCUcmvdD0EIQVJSEtTV1VV2jktZWRlSUlKgr68PCwsLqXyHXCUX4L8Es2fPHujq6uLHH3/E9u3bVW4eiIaGBn788UfMnz8fWVlZGD16NGJjY1UqwRBCEBISgmvXrqFJkyYYPnz4Wy+Goosln8/H3bt3Veo8fYyioiJERUXB2NhYas0h8q6yshJpaWnQ0dGBubk52+GwIjs7G3l5ebC2tpZa06jcJRfgvyayrVu3Ql1dHfPnz0dISIjKXTA0NDSwbNkyfPnll0hOTsYXX3yBrKwslTgPhBDExcVh3rx5YBgGS5YseWclYBhGPPLpzp07sgpT4SQkJCA7OxseHh4wNDRkOxxWFBYWIjs7GyYmJtDX12c7HFYkJyejvLwcLi4uUhstJ5fJBai+WAwZMgR//PEHqqqqMGXKFNy5c0clLqw1iVY6GDBgAB4+fIgpU6agpKSE7bCkrrCwEFOmTEFGRgb8/f0xaNCg9zbheHl5gcfj4dGjRyrVV/ehCCG4e/cu+Hw+OnfuLNX1tORZZmYmSkpKYGdnp7K71z558kS8ErK0yHXpEk2Q+/7775Gfn49x48YhISFB5RKMrq4utm7dipYtWyI0NBQ//PAD+Hw+22FJTWVlJRYvXoybN2+ic+fOWLZs2QfdXVlaWsLKygqpqanIy8uTQaSK5/r162AYBp999plK9rcAQFJSEvh8PlxdXVXyHBBCEBkZCQBo3ry51M6BXCcXoHqI7rfffotJkyYhKSkJ48aNQ25urkolGNHM/j179sDa2hobNmzA33//rXTngBCCvLw8LFiwABs3boSNjQ22bt36wdvbamlpwd3dHUVFRXj+/LmUo1U85eXliIiIgK6uLpo2bcp2OKwghCAqKgoApHrXLs+EQiGio6PB5XLh5uYmte+R++QCVO+rvXr1avTu3Rv37t3DjBkzUF5eznZYMsUwDDw9PbFlyxZoaGhg0aJFSjNEmRCC0tJSHD9+HN26dcOGDRtgbW2NvXv3wsXF5aPurJo3bw6hUCi+gFD/SUtLQ3p6OhwdHVW2IxuoXleNYRg0bdpUJZ9cSkpKkJycDCMjI1hbW0vtexQiuQCAnp4etm/fDk9PTxw9ehTLly9XqSHKQHWC6du3L5YsWYLi4mJMnjwZqampCpdgCCEQCoUoLi5GZGQk1qxZg+7du2PUqFGIiYlB//79cfbs2Y+eh8EwDFq0aAGg+gKiaOdF2iIiIlBeXo527dqBy+WyHQ4rqqqqEBsbCx6Pp7JzXNLS0pCXl4fGjRtLdRKtwiyqwzAMbG1tsXv3bvTr1w+///473N3dMWbMGJW6++BwOJg1axYiIyOxZ88eTJs2DUeOHPmkjbJkQZRISktLxXNQIiMjERYWhsePHyM1NRVlZWXgcrnw9vbGvHnz4OfnBw0NjU/6vbq5uUFdXV3cYalKZeNdRPNbAKh0f0t+fj7S0tJgZmYGMzMztsNhRWRkJCorK9GyZUup7gqsMMkFqE4w3t7e+OuvvzB+/HjMmTMHLi4uaNu2rUpVFg0NDaxevRpPnz7FuXPnsHz5cvz8889ys320SFFRERYvXowHDx4gISEBWVlZKCkpgVAoBIfDgb6+Pjw9PdG1a1cMGjQIbdu2hZaWVoN+lzY2NjAwMMDz589RVlYmt0lX1vh8Pu7duwdNTU2V3RwMqF7ypLCwEJ06dZLLbceljRCCW7duAQA6dOgg1eumQiUX4L8hys+ePcPSpUvx5Zdf4sKFC7CyslKZBMMwDExMTLB9+3b07t0bq1evRuvWrfH555/L3TnYuXMnXr16BX19fTRu3Bhubm5o2rQpWrVqBU9PT1haWkJTU1Nicevr68PGxgbx8fHIzs6myeVfubm5SEhIgJWVlVxuuSttVVVVyM7OxpEjRyAUCussfqoq+Hw+bt++DU1NTbRp00aq36VwyQWoHkG2aNEiREdH4/Dhw/D398f+/ftVal8GhmHQrFkzrFmzBpMmTcKsWbPg6ekJNzc3uak0Ojo6+Ouvv2BqaorGjRvD2NhYnEikFaO6ujpcXV0RFRWF58+fo3HjxlL5HkXz9OlTFBYWonv37ipVT4DqC+o333yDvXv3oqioCHp6ehg8eLDc1BNZSktLQ1xcHBo1aiT1uqEwHfpv0tTUxPr169G8eXOcPHkSv/32m0p28I8YMQL+/v54+fIlpk6diqKiIrbDEuNwOPD19UWnTp1gY2MDHo8HDocj9Urt5eUFQgiePn0q1e9RFKKmEEIIOnfuzHY4MhcXF4etW7eioqICtra2+OGHH1Rya2dCCM6fP4+SkhL07NlT6s2CCptcRCsIb9++HSYmJli1ahVOnDihciOE1NXVsXTpUnTq1Ak3b97EsmXLVC7J1sQwDJo0aQIAiI6Ofmt5iIuLw8mTJ5Gfny/L8FghSi4cDkfq7ezyhhCCU6dOoaysDF9//TUePXqEb775RiVXJxAIBDh48CDU1NQwdOhQqZcDhT7Dog7+1atXQygU4uuvv0ZMTIzKJRh9fX1s2bIFFhYW+PPPPxEcHKxy56AmV1dXqKur49mzZ/WeB0IItm3bhs8//xxHjhxhIULZKi4uRlRUFIyMjODq6sp2ODInSqz9+/eHvr6+SiYWoHpduXv37sHBwQHt2rWT+vcp/FlmGAajR4/GjBkzkJmZialTp6KwsJDtsGSKYRh4eHggKCgIhBDMmTNHJZfJEbG2toa+vj6Sk5NRVlZW5/WKigqcOXMGGhoa+Oyzz1iIULaeP3+O7OxsuLm5wcjIiO1wZKqiogLPnj2Djo4OXFxc2A6HNYQQHDlyBGVlZRg6dKhMBroofHIB/msa6tKlC27evInFixcr9dpb9WEYBsOGDcPUqVORnp6OGTNmoLS0lO2wWKGvrw9ra2vk5OQgJyenzuvPnz9HQkIC3NzclL7tnRCCe/fuoaqqCh07dlS5u/b8/HxkZWXBwsICxsbGbIfDmqqqKhw7dgwaGhoYMWKETJpGlaak6enpYcuWLbCxscGmTZtw8OBBlbtzV1dXx88//4y2bdvi0qVLWLlypcrtgwP8N2KsrKyszhpjhBDcuXMHFRUV6Nq1KzQ0NFiKUnauXbsGhmFUcufJ9PR0lJSUwMHBQSV+12+TnJyMmJgYuLi4wNPTUybfqTTJhWEYuLi4YP369eBwOJg/f754lrYqMTAwwObNm2FsbIxVq1bh4sWLKncOAKBJkyYghNTbqX/lyhUAQPfu3dkITabKy8sRFhYGHR0dNG/enO1wZC4pKQkCgUBlV0AG/tsqvLy8HN27d5dZklWa5AJUJ5jBgwdjzpw5yM7OVtn+l+bNm+O3335DRUUFZsyYgfT0dJVKMKJzAFSvMVZTRUWF+GLbsmVLNsKTqZSUFKSmpsLR0RGWlpZshyNTog3nAMjV/C82XLt2DQDQs2dPmZ0HhZxE+S5qamr44YcfcP/+fVy9ehU//vgj/vjjD6nttiaPGIbBhAkTcP36dezduxdz587Fvn37VGpjJDc3N3C5XDx58gRCoVC8NE56ejpSU1Ph5OQES0tLFBcXsxyp9Ig2BysvL0enTp1YWaySz+cjNDQUfD4fXC4XXC4XGhoa0NLSAo/HA4/Hg7a2NrS1tcHj8cDlcsX9QpK4CIqSi7Ozc4M/61NVVVVh9+7dqKqqEp8DTU1NaGpqQltbGzo6OtDV1RX/0dHRAZfLFR9/Q89DZWUlIiIioK2tLdOnV6W84urq6mLTpk3o0aMHNm3ahM6dO2PYsGEqdefC5XLx+++/IyIiAsHBwdi6dSu+/vprlTkH1tbWMDY2xvPnz1FUVCTe0vfhw4coKytDmzZtZHaxZXMBzfPnzwMAevfuzUoMovklWVlZACBenYFhGKipqUFdXR2amprg8XgwNjaGtbU17O3t4eXlhaZNm8LNzQ3m5uZQU1N7b/yip3PR+4RCIZKSksDlcmFvby/dA32HsrIyBAQEiM+ByJvnQUNDA7q6ujAzM4O1tbV4qaTmzZvD2dlZvILxx/4ec3JykJqaChsbG5k+vSplcmEYBq6urlizZg3Gjh2LOXPmoHnz5h+9N4giE20wtnHjRgwcOBCLFy9G+/bt0apVK5U4B3p6enByckJYWBhSU1NhaGgobnsGILMhyIQQbN26Ffb29mjdujWMjIwavPyNaKVpQsg7L7qlpaW4c+cO9PT0pL6O1Nuoq6tjwoQJyMvLQ1VVFSorK1FRUYHy8nKUlJSgpKQERUVFKCoqwosXLxATEwM+ny8+NiMjIzRv3hwDBw7EgAED4OjoWGeVB0II0tLSsGHDBvB4PMyaNQtGRkaoqKhAWloadHV1Wd2/RkNDA/Pnz0dhYSEqKytRVVWFiooKlJWVoaSkBMXFxSgsLMTr16+Rn5+PxMREREdH4/Tp0wCqVyNp1KgRunbtiiFDhqBjx47Q09P74DIUGxuL4uJieHl5ybT1QimTC/DfApf+/v5Yu3Yt/P39ERISItX9C+SNaDvbb7/9FosXL8b06dNx4cIFlZjrwOFw0KJFC9y+fRtRUVFo2rQpBAIBbt++DQ0NDbRp00YmSTY/Px8//vgjcnJyYGNjg65du4qXxDE3N/+oREMIQUFBAfbv34+jR4+ioqICAwYMwMyZM6Grq1vnc2JiYpCWlgZvb2/W+lt4PB5+++23Ov9OCBEnSdHFtrCwEFlZWUhJSUFUVBQePnyIx48f49q1a7h06RKWLFmCXr16YcaMGejUqRM0NDQgFApx5coVTJ8+HYmJiQCqR0Zt3boVBQUFyMvLg5WV1QfvZioNWlpaWLhw4Vv7PUXngc/no7S0FAUFBcjKykJsbCwePXqE+/fv49mzZ9i2bRt27NgBV1dXTJgwAaNHj4aNjQ0YhgGfz0dsbCyuXLkCKysrDBw4EFpaWiCEICIiAoQQmd9gKG1yAar7X5YsWYJ79+7hypUrWLFiBZYtW6ZSY/05HA7mzZuH69ev4/z58/jxxx8RFBSk9H1QDMOIK1NYWBhGjx6N7OxsxMfHw8rKSmYLWmpqauKnn35CSEgIwsLCsHfvXuzbtw/m5ubo0aMHxo4di86dO9ebHGoSCAS4du0avvnmGzx69AhqamrgcDi4ffs2oqOjsXXr1loLUhJCcPbsWVRVVaFfv36sbsdQ33GJ/k1NTQ1cLhfa2towMjKCvb092rZti6FDh4qT6aNHj3Ds2DGcPHlS/N927dqhZ8+eSExMFCfa4cOH4+bNmzh8+DD+97//oaCgAKWlpbC3t5eLzdHe9vtlGAYcDgfq6urQ0tKCsbExHB0d0aFDBxBCUFVVhdTUVFy8eBGHDh3C3bt38e233yIoKAhdu3aFtbU1IiMjcf/+fRQXF0NNTQ1z585FYGAgGIZBWFgYGIZB69atZdpqofRXWdHQXBMTE6xevRpnz55VqZFTQPXd419//QVra2ts2bJFZZaHadmyJbhcLu7evQuBQICIiAgUFhaiTZs2MlsZWEdHB9OnT8epU6fw4MED7Ny5E35+fiCEYP/+/Rg0aBDat2+PpUuX4tGjRygtLRXf1RNCUFZWhkePHmHevHkYPHgwIiMj4ePjg7Nnz+Ly5ctwc3PD/v37sXz58lpzmiorK3H8+HFwuVz0799f4ZpCRRdcY2Nj9OjRA+vXr0d4eDg2bNgADw8P3LlzB0uWLMGePXtgYGCAdevWYc+ePRgxYgSKi4sRHByMxMRECAQChW4OZxgGGhoacHJywtSpU3HmzBlcvnwZkyZNAiEEhw8fxpo1a3D9+nVYWFhg5syZMDExwaZNm/DkyRNUVFTg8ePH0NHRgbu7u0xjV+7bV0C8V/bKlSsxdepUfP3117h69SoaNWrEdmgywzAMnJycEBQUhHHjxmHu3Llo2bKl0s9Od3R0hJWVFWJjY5GTk4Pz58+DEAIfHx+ZxsEwDNTV1WFvb49x48Zh7NixyMzMxNmzZ7Fnzx7cu3cPS5cuxcqVK+Hk5AR3d3fY2dmhoqICd+7cQUxMDMrKymBhYYHff/8dkyZNEred//PPP+jTpw+CgoLQq1cvdOvWDQzDIDIyElFRUfD09ETTpk1lerzSwDAMzMzMMG3aNIwdOxbh4eGIjIyEsbExunbtCltbWzAMg1GjRuGvv/7C8ePHxStAN23aVGGTS02iRNO2bVu0adMGGRkZePToEV6/fg07Ozs0bdoUBgYGMDMzw08//YRNmzZhwYIFSEtLg6OjIywsLGQar9InF6D6lzJ27FjcuHEDO3bswOzZs3Hw4EG2w5IpUR/U1atXsXHjRsycORPHjh1jOyyp0tHRQbt27XDkyBFcunQJZ8+ehba2Nqsz1UV9LNbW1pg0aRLGjh2L6OhoHDlyBGfPnkVcXByePn0qfgrR0tKCm5sb+vXrh6+++gpOTk61Ym/RogWWLVuGr7/+GnPmzMHly5dhYmKC3bt3o7KyEmPGjFGqIegMw0BXVxfdunVDt27d6rzetGlT2Nvb4+HDh8jIyICamhq8vb1lH6gUicqQjY0NbGxs6rw+YcIEBAUF4dixY/D09ERZWRlat24t86ZBpW8WE+FyuQgMDESzZs1w6tQprF+/XiWahmpSV1fHL7/8Am9vb5w7dw5r165V+nPg5+cHAFi6dCmeP3+O1q1by80Tm+hO1NvbG8uXL8etW7fw4MEDnD9/Hrt378b+/ftx584d3LlzB7/++iucnZ3rJEWGYTBp0iQMGDAAUVFRmD17Nm7fvo19+/bByMgIw4cPV4q79g+lra2NIUOGoLS0FElJSTA3N1e5laBtbW0xaNAgZGVl4aeffgLDMDJ/WgdUKLkAgKmpKTZt2gRdXV38/PPP4r2kVYmRkRE2btwIfX19/Prrr7h9+zbbIUmNqFLZ2toiISEBQqEQEydOZLVz+20YhgGPx4Orqyt69uyJcePGYdSoUWjRogV4PN47E4SGhgbWr18PNzc3HDhwAH369EFBQQFmzJjB6vwONjAMg3Hjxok3wmrRogX09fVZjkq2OBwO5syZAx6Ph7y8PNjZ2aFPnz4yv8lQqeTCMAzat2+PJUuWQFNTEy9fvmQ7JJkTjaL66aefoKmpifT0dLZDkipjY2P8/vvvcHV1xZgxY2S2IqwsMQyDRo0a4dixY+jbty9MTU0xdepUfPvtt0p3rB/Cw8MD06dPh5ubm8qeg+bNm2Pu3Llo3LgxFi5cyMr0A6n1uYSHh8vtL9XOzg7ffvst9PX1kZKSIrXvUfVzEBERIRfHz+Px8NNPP0FLSwuXLl2q9VpxcTGqqqqk9t2yLgNTpkxBaWkpdHV1xQt0vo80zwFbdaBr165o27YtXr9+jVOnTr3zvdIuA2zVgzZt2sDT0xN6enqsnAOGSKHRPT8/HxEREZL+WKmwtbWVyqJ2qn4OVP34AXoOVP34AdU+B1JJLhRFUZRqU6k+F4qiKEo2aHKhFELNxRopSlUpUj1QiOQSHBwMDQ0NDBo0CGVlZWyHI1NCoRBz584FwzBYtWoV2+Gw5uHDhzA1NYW3t3edpctVwcaNG8HhcMTLfqiily9fwsXFBdbW1njy5Anb4cjcuXPnoKOjg+7du6O8vJztcN6PKIgzZ84QHo9HunbtSl6/fs12ODJRVVVFJkyYQBiGIRs2bGA7HNZFRUURKysr4uLiQpKTk9kORyaEQiFZvnw5AUDmzJlDBAIB2yGxKjMzkzRv3pwYGxuTu3fvsh2OzBw8eJBwuVwyYMAAUlpaynY4H0RhkgshhNy8eZMYGBgQb29v8urVK7bDkaqysjLi5+dH1NXVyT///MN2OHIjMTGRODg4EFtbW/Ls2TO2w5EqoVBIvvnmGwKALF26lAiFQrZDkgv5+fmkY8eOREdHh1y8eJHtcKRuy5YthGEY8sUXX5DKykq2w/lgCpVcCCHk0aNHxNzcnLi7u5OUlBS2w5GKwsJC0qNHD6KlpUVOnTrFdjhyJz09nTRp0oSYmpqS8PBwtsORCj6fT7766isCgKxdu5btcOROcXEx6du3L9HQ0CDHjx9nOxypWblyJQFAZsyYoXBPrQqXXAghJC4ujtjb25NGjRqR2NhYtsORqJycHNKmTRuir69Prl+/znY4cis3N5e0a9eO6OnpkatXr7IdjkSVl5eTYcOGETU1NbJ79262w5FbFRUVZMSIEYTD4ZCdO3eyHY5ECYVC8u233xIA5IcfflDIp1aFTC6EEJKamko8PDyIubk5efjwIdvhSERaWhrx9PQkZmZm5MGDB2yHI/eKiopIr169iJaWFjl58iTb4UhEcXEx8fHxIZqamiQkJITtcOQen88nU6dOJQDImjVr2A5HIvh8Ppk2bRoBQP744w+2w/lkCptcCCEkOzubtG7dmujr65MbN26wHU6DxMfHk8aNGxM7OzulexqTpvLycjJkyBCipqZG9u7dy3Y4DZKXl0c6dOhAdHV1yeXLl9kOR2EIhUISEBBAAJAff/xRIe/yRSoqKsjIkSMJh8Mh27dvZzucBlHo5EIIIa9fvybdunUjPB6PhIaGsh3OJ3n8+DGxsLAgbm5uStuPJE1VVVVk0qRJBAD5888/2Q7nk7x8+ZI0bdqUmJiYkLCwMLbDUUgrVqwgAMisWbMUrn+CEEJKSkpIv379iIaGBjl69Cjb4TSYwicXQqpHVg0ePJioq6uT/fv3sx3OR7l16xYxNDRUiRFw0iQUCsn8+fMJAPLzzz8r1N1rUlIScXJyIjY2NuTJkydsh6PQNm/eTBiGIWPHjlWokVX5+fmkU6dOREdHh1y4cIHtcCRCKZILIYRUVlaSsWPHEoZhyKZNm9gO54OcO3eOaGtrky5dupCCggK2w1F4QqGQ/PLLLwQAmTdvnkIkmOjoaGJlZUWcnZ3J8+fP2Q5HKRw4cIBwuVwyaNAgUlZWxnY475WZmUlatGhBjIyMyJ07d9gOR2KUJrkQQohAICCzZs0iAMhvv/3GdjjvdPjwYYWbFKUo/vzzTwKATJo0iVRVVbEdzlvdu3ePGBsbk2bNmpGMjAy2w1EqoknX3bp1k+tJ18nJycTFxYVYWlqSyMhItsORKKVKLoRU373+9NNPBABZtGiRXN69btu2jXA4HIWbFKVI9u7dS9TU1MiQIUNIeXk52+HUcenSJaKrq0s6duxI8vPz2Q5HKYkmXbdu3ZpkZ2ezHU4dz549I7a2tsTBwYEkJiayHY7EKV1yEVmzZg0BQCZPnkz4fD7b4Yj9/vvvCjspStGcPHmSaGlpkZ49e5KioiK2wxE7fvw40dDQIH379iXFxcVsh6PUak66Tk1NZTscsfDwcGJqakqaNGlC0tPT2Q5HKpQ2uRBCyM6dO4mamhoZPnw463evQqGQfPfddwo9KUoRXb16lejp6ZF27dqR3NxctsMhO3fuJBwOh4wYMYJUVFSwHY5KqDnpOi4uju1wyJUrV+SqTEqLUicXQv67S/Tx8WHtLpHP55Pp06cr/KQoRRUREUFMTU2Jl5cXq3eJoqfpqVOnytXTtCqQl0nXJ06cIJqamqRXr15y9TQtDUqfXAipbt/W0dEhHTp0IHl5eTL97oqKCjJq1CilmBSlyGq2byckJMj0u4VCIfnxxx8JABIQEECfWlmSnZ1NWrVqRQwMDFiZdL1nzx657geUNJVILoSwMzKn5qSoI0eOyOQ7qberOTInKipKJt9ZcwTjihUrZPKd1Nu9fv2adO3alfB4PHLmzBmZfe/69esJADJx4kS5HsEoSSqTXAipnlNgbW0tkzkFBQUF5LPPPiM6Ojrk/PnzUv0u6sNlZWXJbE5BZWUlGTduHGEYhmzevFmq30V9uNLSUjJo0CDC5XLJgQMHpPpdQqGQ/Pzzz+K5V6o0iEelkgsh/82Gtra2ltpsaFlewKiPV1BQQDp37izV2dCiVSNkcQGjPl7NSdfSSvwCgYDMmzePACC//PKLyjWHqlxyIeS/dZyMjY3J/fv3JfrZL168IK6urko5KUqZSHMdp5rr3cmy6YX6ONJssqyqqiITJ05U6PXuGkolkwsh0lmBVtknRSkbaQy2EK3UbWBgQG7evCmRz6SkRxqTrsvKysjnn3+uFCt1N4TKJhdCau+dERwc3KDPUoVJUcpIksPEU1NTibu7OzE3NyePHj2SUISULIiGiU+ZMqVBw8QLCwtJz549lWqPoU+l0smFkNq7/u3atave9wiFQpKdnU2eP39OsrOz69zdyNtEPerj1Jzg+r///a/eu9f3lYG4uDjSqFEjuZmoR3080QTX4cOH1zvB9X1lICcnh7Rt21Ypd0f9FCqfXAh5+37l+fn5ZM2aNcTJyYkAEP9xcnIia9asIfn5+XK7xAj18erbr/xDyoC8LjFCfTzRpOs+ffqIJ11/SBlIT08nXl5exNTUlISHh7N8FPKBJpd/CYVC8s033xAAZMmSJeTMmTNER0eHMAxDGIapVahE/6apqUnU1NTI559/rhKTolTB1q1bxYuKnjp16r1lQEtLi+jo6JBWrVrJ5eKI1Me7ePEi0dHRIZ06dSJHjhx5bxng8XjE0tKS2NrakmfPnrEdvtygyaUGoVBIfv3111oFp2Zhqu8PwzAKuwMmVb/Dhw8TdXV18e/3fWUAgFLsHEj95969e0RPT++jysDbmtVVFUMIIaDECgoKYGFhgcrKyg96P8Mw0NbWRlpaGgwNDaUbHCUTBQUFsLS0REVFxQe9n5YB5VNQUABra2uUlZV90PtpGaiLw3YA8mbXrl2oqqr64PcTQlBaWordu3dLMSpKlnbt2vXBNxcALQPKaNeuXSgvL//g99MyUBd9cqmBEAIXFxckJSXhY04LwzBwdHREfHw8GIaRYoSUtNEyQNEyIBk0udSQk5MDMzOzBv28iYmJBCOiZI2WAYqWAcmgzWI1FBcXN+jni4qKJBQJxRZaBihaBiSDJpcadHV1G/Tzenp6EoqEYgstAxQtA5JBk0sNJiYmcHJy+uj2UoZh4OTkBGNjYylFRskKLQMULQOSQZNLDQzDYNasWZ/0s7Nnz6adeEqAlgGKlgHJoB36bygoKICtrS3KysogFArf+34OhwMej0fHtysRWgYoWgYajj65vMHQ0BBHjx4FwzDgcN59ejgcDhiGwbFjx2iBUiK0DFC0DDQcTS716NOnD0JDQ8Hj8cAwTJ3HXNG/8Xg8nD59Gj4+PixFSkkLLQMULQMNQ5PLW/Tp0wdpaWlYs2YNHB0da73m6OiINWvWID09nRYoJUbLAEXLwKejfS4fgBCCK1euoGfPnrh06RK6d+9OO+1UDC0DFC0DH4c+uXwAhmHEbamGhoa0QKkgWgYoWgY+Dk0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0uFEVRlMTR5EJRFEVJHE0u7yEUCpGXl4eUlBQAQEZGBkpKSliOipIlWgYoWgY+Ht3m+C3Ky8tx+fJl7N69G2FhYXj16hWKi4thYGAABwcH+Pj4YMKECfDw8KA70ikpWgYoWgY+HU0u9UhKSsKiRYsQGhoKa2trdO/eHS1btoS+vj5yc3MRHh6OK1euoKqqCvPnz8fs2bOhra3NdtiUBNEyQNEy0ECEquXJkyekWbNmxMjIiCxbtoxkZGSQkpIScvPmTXL16lVy9+5dUl5eTp4/f05mz55N9PT0yLRp00hJSQnboVMSQssARctAw9HkUkNOTg7p1KkTMTU1JcHBwYTP5xNCCElMTCSmpqZEXV2duLi4kLy8PCIUCkllZSXZtGkT0dfXJ0uXLiUCgYDlI6AaipYBipYByaDJpYaff/6ZaGpqks2bN9cqIImJicTAwIAAIA4ODiQvL0/8WlVVFfnf//5HTExMSEREBBthUxJEywBFy4Bk0NFi/3r16hV27NiBDh06YMyYMeBwPuzUqKurY/bs2TA3N8fWrVtBaBeWwqJlgKJlQHJocvlXWFgYUlNTMXbsWGhpaUEgENT6I0IIqfOaqakphgwZgosXL6KgoIC9g6AahJYBipYByVFnOwB58fDhQ2hoaMDb2xsBAQGIjo4Wv1ZWViYe056VlYVRo0ZBXf2/U+fv749OnTph/fr1SE9Ph5GRkczjpxqOlgGKlgHJocnlX69evYKWlhYMDAxw79493Lx5s973lZWV4dKlS7X+bcCAAejYsSOEQiG9Y1FgtAxQtAxIDk0u/9LU1IRQKASfzweHw6nT1ioUCsV/f/M1hmFQWVkJAOByudIPlpIKWgYoWgYkhyaXfzk5OaGkpARpaWkIDAxEfn6++LWMjAzMnj0bJSUlsLCwwPr166Grqyt+3cPDA9euXUNFRQX++usvREVFoXnz5mjSpAl4PB4bh0N9AidHxwaXAS0tLVhYWLARPvWRCCFIS0vDo0eP8PjxYzx69AjXrl1DUVERLQMSQJPLv9q1awcNDQ2cPXsWK1asqHVXkpSUJG5b1dbWRq9evWq1p/L5fISGhsLQ0BBhYWHYt28fhEIhOBwO3N3d0bx5c7Ro0QItWrRA8+bNacGTJ1VVwLVrQEgI2h0+DI3Kyk8uA6dOnQKfz0dwcDCGDh0KOzs7mR8OVb/Kyko8e/ZMnERECSUvLw8AYGxsjBYtWqBPnz44evToJ5eB06dPw8PDA1ZWVrI9QDlEk8u/PD090aFDBxw4cABTpkyBs7PzB60VRAjBvXv3cPHiRSxfvhz+/v4oKytDdHR0rYJ86tQpFBUVAQAsLS3FiUaUdFxcXKCmpibtw6QAoKgIOHsWCA4GTp8GCgqARo3gOXQoOty716AyYGVlhYULF2LevHlo1aoVfH194efnhyZNmtC1p2QkPz+/ThJ58uQJqqqqAADOzs5o3rw55s2bJ66Htra2YBgGFRUVePXq1SeXgQsXLmD58uXQ1NSU9mHKP7Ym2MijixcvEl1dXfL555+TgoICIhQKCSFvnzwlFApJeno66dixI2nbtm2tSVVvEggEJCEhgRw5coQsXryYDBo0iNjZ2REABADh8Xikbdu2ZOrUqWTDhg3k1q1bpKioSCbHrRJeviRk0yZC+vUjREODEICQFi0I+eknQh4+JOTf3/XFixeJnp5eg8pAQUEB2b9/Pxk5ciTR09MT/8y8efPI1atXSVVVFUsnQbkIhUKSmJhIjh49Sn788UcyePBg0qhRI3Gd0tLSIm3atCFTpkwhf/31F7l58yYpLCx87+dKogxQdIZ+LdHR0URfX59wOBwyatQokpqaSoRCIUlOTiZubm7EysqKtGvXTlzgYmJiSK9evYi1tTW5devWJ31nbm4uuXz5Mlm9ejUZP348ad68OVFXVycACMMwxMXFhQwbNoz88ssv5NSpU+KYqPcQCgl5+pSQX38lpF276mSipkZI9+6ErF1LyPPn9f4Yn88ny5YtI1paWhIpA+Xl5eTs2bPE39+fWFtbEwDExMSETJgwgRw7dowUFxdL+UQoh7KyMhIWFka2bdtGZs6cSTp37kz09fXFicTc3Jz06dOHLFq0iPzzzz/k6dOnn5zEP6UM9OjRg+jq6pKbN29K+MgVF10V+V8RERHo27cvzM3N0a9fP2zatAmNGjWCv78/fHx8oKmpCTU1NQgEAhQXFyMkJARbtmwBl8vF5s2b0bNnT4nFUlFRUad9+NGjR+LhjSYmJnWa1dzd3ekIFYEAuHsXCAmpbvKKjwd0dIC+fQFfX2DAAMDY+L0fU1FRgRUrVuD333+XaBkQCoWIiIhAcHAwQkJC8OTJE2hpaaF3797w8/PDoEGDYGZmJqGTobhevXpVp1krJiYGAoEAHA4Hbm5udfoxLS0tJRrDx5aB0tJS5OTkYPLkydi0aRNt4gZdch8AcPXqVQwePBienp44ffo0DAwMxB16ERER4PF4sLKygo6ODoqKivDy5UuoqanBz88P3333HZydnaUeIyEEqamptSrco0ePkJSUBADQ0NCAl5dXrQrXvHlzGBoaSj02VpWVAZcuVSeTkyeBV68Ac/PqZOLrC/TsCWhpffTHCgQCqZeBhIQEhISEIDg4GLdu3QLDMOjYsaO4n0YW5YpNAoEACQkJtcrzo0ePkJGRAQDQ1dVFs2bNat1INWnSRGbL2n9sGbh16xa+/PJLDB06FHv27FH5fheVTy4nT57E8OHD0blzZwQHB9caWlhaWorw8HDcuHED8fHxKCsrg4mJCZo3b45u3brB2dmZ9TuUwsJCREZG1ko6UVFRqKioAAA0bty4zl1e48aNFbtzOTcXCA2tfkI5exYoLQVcXQE/v+o/7doBH7gm1PvIqgy8evUKp06dQkhICM6fP4/y8nJ4enrCz88Pvr6+aN269QevcyWPiouLERUVVSuJREVFobS0FABga2tb52nc0dFRLo75Y8pAcHAwRo4ciW7duuHYsWPQ0dFhOXr2qHRy2bdvHyZMmIDBgwdj//79773TIIQoxEWZz+cjNja2TrNadnY2AMDAwEBciUX/9fLyku87reTk/5q7btyobgJr3746mfj6Au7uMglDFmWgpKQEFy5cQEhICE6ePInc3FxYW1tj8ODB8PPzQ/fu3aGhoSHVGD4VIQQZGRl1nrDj4+NBCIG6ujo8PT3r3PCYmJiwHfoHe18ZuHTpEnx9fdG8eXOcOnVKZZeBUdnk8tdff2HmzJmYOHEitm7dWmuNIGVECEFmZmadSh8XFyeu9O7u7rUqfIsWLWBqaspWwMCjR9XJJCQEePwY0NAAevWqTiaDBgEqMJeAz+fj9u3b4n6apKQk6OnpoX///vD19UX//v1hYGDASmxVVVWIjY2t06yVk5MDoPom5s3y5OnpKd83MRJy//599OvXD7a2tjh37pzE+4QUgcolF0IIli9fjsWLF2PevHlYtWqVXDx6s6WkpATR0dG1ks7jx4/FzRU2NjZ17jKdnZ2lc86qqoDr16uTSUgIkJICGBpWd8T7+QF9+gB6epL/XgVBCEF0dLS4nyYiIgJcLhfdunWDn58fBg8eDFtbW6l89+vXr8VlQ1RWnjx5Im5+dXBwqNOs1ahRI4V40peWJ0+ewMfHB9ra2rhw4QIaN27MdkgypVLJRSgU4ptvvkFQUBB++eUXfP/99ypd+N9GIBAgMTGxzoid9PR0AICOjk6djtamTZt+WkeraEJjSEh1P0pBAWBn919zV5cugKqPgnuL1NRUnDhxAiEhIbhy5Qr4fD5at24NX19f+Pr6ftLETUIIUlJS6jzhPn/+HED12ltNmjSplUSaNWvG2tOTvHv+/Dl69+6NsrIyXLhwAZ6enmyHJDMqk1z4fD6mTJmCnTt34s8//8TXX3/NdkgKJzs7W3yxEf332bNn4iGiLi4udZpBLC0t617gMjOBEyeqm7wuXQIqK4HmzauTiZ8f0KIFQJP+RykoKMCZM2cQHByMM2fOoKioCI6OjuIBAZ06daoz8KCiogJPnz6t9ft8/PixeMi7qalpnd+nm5sbHfL+kTIyMtCnTx+kp6fj7NmzaNOmDdshyYRKJJfy8nJ88cUXOHHiBHbt2oUxY8awHZLSKC8vF1+gal6kCgsLAQDm5ubVFyY7O7QoKUHzZ8/gFhkJdTU14LPPqpPJ4MGAgwO7B6JEKioqcOXKFYSEhCAkJAQZGRkwMTFB69atYWVlhYqKCkRHR+PZs2fg8/lgGEZ8Y1DzicTKyoo+2UtIfn4+BgwYgKioKJw4cQLdu3dnOySpU/rkUlxcDD8/P9y6dQuHDh3CoEGD2A5J6RFCkJyUhEeHDuHxqVN49PgxHpWU4MW/r2txuWji5YUWrVuLL2bNmjWDvr4+q3ErA6FQiKSkJHGyf/jwIcLDw/Hq1SvxezgcDuzs7NClSxeMHj0an332Wa0h+JR0lJSU4PPPP8f169dx8OBB+Pr6sh2SVCl1csnLy0P//v3x9OlTnDx5El27dmU7JOVWXl57QmNWVvWExkGDAD8/5Ht7IzI+vtYTzpMnT8R7YDg6OtZphrGzs6N3z29RWloqHowhOp+RkZEoLi4GAFhZWdU5n4QQnDp1CsHBwbh9+zYYhkGnTp3E/TTKPnGTbRUVFRg7diyOHz+Ov//+G+PHj2c7JKlR2uTy8uVL+Pj4ICsrC2fPnkWrVq3YDkk55eXVntBYUgK4uNSe0PiOSYZVVVWIiYmp06yWm5sLADAyMqrVVNOiRQt4eHjI7TwPacnMzKwzbykuLg5CoRBqamriYeQ15y+Zm5u/8zNFEzeDg4Nx4cIFlJeXw8vLq9bETZrYJU8gEGDatGnYvn071q5di9mzZ7MdklQoZXJJTExE7969UVVVhQsXLsBdRhPsVMaLF/9NaLx+vXpCY7t2tSc0NuCiRAhBenp6nYtpQkICgOpd/jw9PetcTI0/YN0weScQCBAXF1cn2WZlZQEA9PT06iRbLy8vaH3CEjc1lZSU4Pz58+KJm3l5ebCxsRFP3OzWrZvKJXRpIoRg0aJFWLVqFZYsWYIff/xR6RK50iWXqKgo+Pj4QE9PDxcuXIC9vT3bISk+0YRG0fyTR4+qJzT27PnfhEZra6mHUVRUhKioqDrNQOXl5QAAOzu7Os1ADg4OcjuPqaioSLx0j+h4oqKixMfTqFGjOsfTuHFjqR8Pn8/HrVu3xBM3nz9/Dn19ffHEzX79+tGhxxJACMGKFSvw/fffY/bs2QgKCpLbsvoplCq53L17F/3794e9vT3OnTv33mYB6h2qqqqXWRHNkE9JAQwM/pvQ2LevXExoFAgEiP+3H6fm3X5mZiaA6jt90Zycmnf6stx+mvy7ne6bT2KJiYkAqp/EvLy86swdkYcnMUIIoqKixBM3Hzx4AC6Xi+7du4snbtrY2LAdpkLbtGkTZsyYgXHjxmH79u1Ks1qI0iSXCxcuwM/PD97e3jh58qTyrwYsDcXFtSc05ucDtrb/NXd17aowExpFfRQ1L+ixsbG1tp9+c+itJG5GKisr6+1Dqrmd7psrHihSH1JKSop44ubVq1fB5/PRpk0b8YAALy8vpWvekYX9+/dj/Pjx6N+/Pw4ePNjgZk55oBTJ5ejRoxg9ejR69eqFI0eOyGxJbqWQmVk9sks0obGiAmjW7L8JjS1bKs2ERtH2029OGhSNrhJtP13zwv+u7adrbqdbc/SbaDtdJyenOs1aou10lUFBQQFOnz4tnrhZXFwMJycn8ZYBHTt2ZH3VcEUSGhqKYcOGoUOHDggJCYGeHLQMNITCJ5e///4bU6ZMwfDhw7F7926FuQNkVWzsf81dd+9WJw/RhEZfX5Wa0CgUCvH8+fM6zWqpqakAAB6Ph2bNmsHBwQH6+vqoqqpCVlYWnjx5ghcvqmfuaGlpoWnTpnWWw1GleTsVFRW4fPmyeOJmZmYmTE1NMWjQIPj6+qJ37970pu8D3LhxAwMHDoSbmxvOnDmjUKtFv0mhk8vq1auxYMECTJ8+HX/++Se9S3oboRC4d++/EV6xsYC2dvVCkH5+1f0oClyIJam8vBxPnjzBzZs3cfXqVURGRiI1NVX8NCJiZGQEV1dXtGvXDj179kSrVq1gbW2tNE8lDSEUChEWFiYeEPDs2TPweDz4+PjAz88PAwcOZG+1bQXw8OFD9OnTB2ZmZjh//rzC9mkpZHIhhGDx4sVYvnw5vvvuOyxfvpxW6jeVlwOXL/83oTEzEzAzq15qxde3eul6GXZqy6Ps7Ow6fSM1t9N1dXWt0zeSn59fZ4n5N7efrvkEQ7efBuLi4sQDAu7cuQOGYdC5c2dxP42TkxPbIcqduLg49OrVCxwOBxcvXlTIya0Kl1yEQiFmzZqFDRs2YOXKlVi4cCHbIcmP/Pz/JjSeOVM9odHZ+b8Jje3bv3NCo7ISbaf75irPL1++BFC9yvObm6d96Ha6H7L9dH2rCKvqgJOsrKxaEzcrKirQpEkT8cTNVq1a0RvFf6WmpqJ3794oKCjAuXPn0Lx5c7ZD+igKlVyqqqowceJEHDhwAJs3b8bkyZPZDol9KSn/NXddu1Y9obFt2//6Tzw8lKZD/kOUlJSI58KILvaRkZG1ttN9c7SWk5OTxOcXvH79GpGRkbUSWnR0dK3tp98crWZvb69SF9bi4uJaEzfz8/Nha2srnrjZtWtXle9Dzc7ORt++fZGUlITQ0FB07NiR7ZA+mMIkl9LSUowYMQLnz5/HP//8g2HDhrEdEjsIASIj/+uQf/iweniwaELj4MEymdDItg/ZTtfDw6NWEmnevDmrbf2i7affbFarb/tpUcxyv/20hPD5fNy8eVPcT5OcnAx9fX0MGDBAPHFTlQZI1PT69WsMHjwYYWFhOH78OPr06cN2SB9EIZLL69evMWjQIERERODYsWMKc3Il6urV6oQSHFy9/IqBAdC//38TGpW84uXk5ODcuXO1kknNi/KbTwGKsp2uKEm+2WRXc/tpDw8P8bG1a9cOnTt3ZjtsqSKEIDIyUtxP8/DhQ3C5XPTo0QO+vr4YOnSoyk2QLisrw/Dhw3H+/Hns27cPw4cPZzuk95JKclGAfFWLNJoiJH4OhML//i6KV4JxS/oc0DJAz4GqHz8g2XNACBF/HsMwUolXkp8plXUGkpOTsX//frlfxoAQAi8vLwwYMEDiv6i85GQk7d8PyPk5ACEw9PKCs4TPAS0D9Byo+vEDqn0OpHLEqampsLS0RO/evaXx8Q2WkJCAhw8fom3btjh37hwGDBgg8e8oSU2FpqUl7GqeA0KqO9wrK4GysurlVgoKgNzc6iTUuHH1/ieamjLrhC8tKEDK4cNwlvA5eF8ZIISgsrISBQUFSEtLQ05ODvh8PrhcLvT09GBiYgJTU1Po6+tLtWIWFBTg0KFDUikD8l4PUlJScP36dXTv3h2hoaESPwfvO34+n4/CwkJkZWUhKysLJSUl0NDQgIWFBezs7GBoaCiTAQ5sloGa9SA7Oxu5ubkoKSkBUN3ca2NjA0tLS6kvB1NQUIDDhw9L9BxIrdaamprCzs5OWh//yQgh+OOPP7B+/XosXbpUqquQ8nR1YRQaCqSlVc8zefUKyMmp3gOlsBAoLa2ej8LnVycTXd3qBNOqVfWM+Vatqv9fR6f6A6VQ0bg6OoCUzoGpqSlsbW3FF5GMjAzEx8cjOjoa0dHRiIuLQ3p6Ol6/fl1rkqKamho0NDRgZGQEZ2dndOvWDYMHD0bTpk2hrq4u0QuOjo6OVMuAvNYDoVCI5cuXY+vWrVi8eLHUzoHo+AkhqKiowMuXL/Hw4UPcunULDx48QEJCAvLy8lBRUQFCCBiGAZfLhaWlJXr27IkpU6agdevWUFNTk1qikVUZIISAz+cjNzcXsbGxiIiIwIMHD/D06VOkp6ejqKgIlZWV4qYvDocDXV1dODg4YMCAARg3bhycnZ2lEqs0zoF8P6tJQV5eHg4fPgxdXV3069cPJ06ckN6XVVYCS5ZUJxWGqZ5jwuVWT17U1a1+SjE2rp7cWF4OxMUBCQnVo8H+/rv6ffb2QOfOwJAh1f/V0VGYocWFhYXw9/dHZGQkUlJSkJubK76IcDgc8Hg8mJmZoUmTJrC1tQWXyxXfxWVmZiI9PR23b9/GtWvX8Pvvv6Nbt274/vvv0b59e5VajYEQgqKiIly+fBlt2rSRyEoAUVFR2LdvH8zMzDBkyBAcPXpUQtHWVl5ejkOHDuHatWu4e/cuEhISUFRUBEIINDQ0YGxsjGbNmsHW1hb6+vqoqKjAixcv8OzZM/z999/Yv38//Pz8sGzZMjg5OSnkUO3y8nIcPXoUd+7cwf379xEXF4e8vDzw+XwwDANtbW2YmZnB1dUVlpaW0NfXByEEOTk5SEhIEI8w3LhxI/z9/bFgwQIYGBjI/blQqeRCCMHJkyeRkZGBoUOHSn+vF21t4Mcfq/c+MTcHTE2rk4m+fnWS0NSsTjYcTnWTWWkpkJ4OPHgA3LwJ3L8PxMcD27YBO3ZULyi5aFH1CDENDblPMhwOB6GhocjJyYGxsbF4xnrTpk3h5eUFR0dHmJubQ0dHp1ayEN3hFRYWIiEhAWfOnMHBgwdx5swZXL16FTNmzMDixYuhp6cn9xVMEmoOw2/VqhXOnDnToCHVQqEQQUFBKC4uxnfffQdbW1sJRltbaWkpFi1ahOzsbGhra6NRo0Zo3bo1OnfujFatWsHe3h6Ghoa1mj75fD5evnyJw4cPY+PGjdi/fz+uXbuGVatWYcSIEQp3Y1FaWoqAgABkZ2dDU1MTFhYW6N27N9q0aYNWrVrBzc0NlpaW0NbWrlMPysrKEB8fjz179mDXrl349ddfcf36dfz9999wdHSU6/KvUsmlqqoKW7duBYfDwdSpU6W/MY+6OjBjxoe9V9Qs5uYGuLoCo0ZVP/mkpgJXrgB791YvMjluXPV8lqAgwMZGrhOMtrY29u7dCxMTE1hZWdXqP3lXpWAYBhoaGjA1NYWpqSnatWuHuXPnYvfu3fjtt9/wxx9/ICoqCjt37oSFhYVcV7CGIoTg+PHjOH/+PNTV1REeHo5//vkHs2bN+uTjTk5ORnBwMCwsLPDll19KOOLaDA0NMX/+fFhaWqJNmzawt7eHzr/NvG+Ln8vlwt7eHgsWLMDYsWPFzXeTJk1CTEwMvv/+e4UYZi5iYGCAWbNmwdzcHK1atYKjoyP09fXB4XDeWw90dHTEw+wnTpyI2bNn49q1axg0aBCOHj0Kd3d3uS3/yrPt2Qd49OgRwsPD4eHhgU6dOrEdztsxTPUfTc3q5VsmTwbOnQMOHqxOPEePAv36AY8fVz/xyCkOh4OuXbuiSZMmMDExAZfL/aQhlAzDwMjICLNnz8alS5fQpk0bnDt3DiNHjkRubq7CDXn9GEKhEDt27ADDMPj222+hrq6OAwcOQCAQfNLnEUKwY8cOvH79GqNGjYKFhYWEI66Nw+EgICAAEyZMgJeXF3R1dT+4DDAMA0tLSwQFBWHnzp3Q09PDL7/8gvnz56OsrEyqcUuSmpoa/ve//2HKlClo1aoVjIyMProPiWEYNGnSBMePH8fo0aMRGxuLkSNHIjU1VW7Lv8okF0IItm3bhsrKSkycOFGmOxE2GMMAWlrVTywXLwLDhwNPn1b//717cp1gJIlhGHh6eiIkJARdunTB9evXMX36dPG2wMooIyMD4eHhsLW1hb+/P2xtbfH06VPxBNKPlZeXh127dkFHRwdTp06VyV1vQ+dkqKurY+TIkQgJCYGdnR02bdqE+fPnK9TvXRLzUhiGgaGhITZv3oyhQ4ciOjoaX331FYqKiiQUpWSpTHLJyspCcHAwjIyMMGLECLl9lHwnhgEsLKr7X77+urp/ZsSI6iVgVCjBWFhYYN++ffDy8sLx48exdu1aub17awhCCK5evYrCwkL06NEDFhYW8Pb2RmFhISIjIz/p844dO4bU1FT06dMHbm5uUohaOhiGQYcOHXD8+HE0atQIW7ZswZIlS8Dn89kOTeZ0dHSwceNGdOjQAZcvX8bSpUs/+UlWmlQiuYgqVXZ2NgYOHKiw+yMAqE4w2trAypXVCebly+r+mcRElUowNjY22L59O/T09PDbb7/h4cOHSplgTp8+DYZh4OvrC4Zh0K1bNxBCcPPmzY8+3srKSmzevBnq6uqYOXOm9PscJYxhGLRo0QIHDx6EmZkZVq9eja1btyrl7/1dGIaBsbExtm3bBgsLC2zYsAGnT5+Wu/OgWKXrE1VUVGDbtm3gcrmy6ciXBS0tYMWK6g7+hARg7FggO1ulEkzbtm0REBCAoqIiLFq0SLzisLIoKyvD/fv3oauri9atW4NhGLRp0wYcDgdhYWEffTGJjo5GVFQUmjRpgg4dOijk07voHPz999/Q1NREQEAArl27JncXVmljGAbu7u5YuXIlBAIB5s+fj6ysLLbDqkUJrrLvRgjBnTt3EBUVhZYtW6JNmzZshyQ5PB6wdm31jpL37wMzZ1bPl1ERDMNg5syZaNGiBa5evYrjx48r1UXmxYsXSEtLg4uLi7jjXbTdclxc3Ef1ORBCcPjwYVRWVmLEiBEKNdrqTQzDoG/fvvj5559RWlqKqVOnIiMjg+2wZI5hGIwcORIjRoxAYmIili1bJlfNYyqRXDZt2gQ+n48pU6Yo3/4QenrV82A8PYFjx6qHKNdc5FLJ6erq4ueffwbDMFi+fDmKi4vZDkliwsPDUVFRgQ4dOoiHcBsZGcHa2hqvXr1Cbm7uB39WRUUFTp06BS0tLfj5+SnkU0tNHA4HM2bMwMiRIxEfH48FCxagsrKS7bBkTl1dHcuXL4e1tTV27tyJW7duyc0NltInl+fPn+Ps2bOwtrZWikpVB8NU79+yfXv15MwVK4Bbt1Sqeax3797o1q0bnj59ikOHDslN5WoIUb8KAHz22WficsvlcuHq6orS0lI8f/78gz8vLi4O8fHx8PDwUJpthTU0NLBq1Sq4uLjgyJEjOHDggFL87j8GwzBo1KgRFi9ejMrKSnz33XdyM0xbqZMLIQQ7d+5EYWEhRo0aBRMTE7ZDkg6Gqd59csmS6ln+8+ZVr12mIrhcLr7//nuoq6tj9erVSvH0wufzERYWBk1NTbRs2bLWa02bNgUhBE+fPv2gzyKE4MyZM6isrMSAAQPA5XKlETIrLC0tsXbtWqipqeH7779Hamoq2yHJHMMwGDduHNq3b4979+5h3759cpFklTq55OfnY/fu3dDR0cHkyZOV76mlJoYBpk6t3pHy4UNgwwaVenrp3LkzunTpgmfPnuHkyZNyUbkaIjc3F0lJSbCysqq1PItoMh1Q3UH/IccpEAhw4sQJqKurY+DAgUpVDxiGgY+PDyZMmID09HQsXrxYJYcn83g8/PLLL+Byufjtt9+Qk5PDdkjKm1xqjun38fGBq6sr2yFJn6YmEBhYvYzMmjVASgrbEcmMuro6FixYAA6HgzVr1ij8yLGYmBgUFRWhWbNmdSb8uri4QE1NDTExMR+UXF6+fImoqCg0atRInJiUiZqaGn766Sc0atQIBw8exNWrVxX+5uJjiW6w/Pz8kJycjL/++ov1c6C0yaW8vBwbNmyAmpoaZs+erRzDj9+HYaoXt5w4sXpY8urVKtO5zzAMunfvDm9vbzx48ADXr19nvXJ9KkII7t69C6FQiI4dO9Z53draGrq6ukhOTv6gTuy7d++iqKgIn332GbS1taURMuusrKywZMkSVFVV4fvvv0dpaSnbIcmcmpoafvjhB+jp6WHjxo2sNxEq5RWXEIKLFy8iMjISbdq0Udgx/Z+Ew6nuczExAfbsAT6i01fRaWpqYtasWRAKhVi3bh2ECpxYb9++DQ6Hg/bt29cpuwYGBjAzM0N2djYKCgre+TmEEJw/fx4A0KdPH6WtBwzDYNSoUejUqRPCw8OxZ88ehb25+FQMw8DDwwPjx49HdnY2goKCWD0HSplcqqqq8Mcff4AQgrlz5yrf8OP3sbcHJkyo3uVyyxaV6nsZPHgwHBwccPnyZURHR7Md0icpKSlBZGQk9PX14e7uXud1DQ0N2Nvbo6SkBC9fvnznZ1VUVOD27dvQ1tZGu3btpBWyXNDS0sLy5cuhqamJFStWfPL6a4qMw+Fg/vz5MDExwa5du5CQkMBeLKx9s5QQQnDt2jXcunVLavtiyz2GAaZNq54Ds3dv9e6XKkJfXx9ffvklysrKsGnTJoW8e33x4gUyMjLg4uJS7whHhmHg6uoKgUCApKSkd35WWloakpOT4eDgoNjLHn0AhmHQsWNHDBkyBC9evMCff/6pkL//hmrcuDEmT56MgoICrF69mrUneKVLLlVVVVixYgUEAgEWLFigtG3M7+XkBPTvD2RkAMePq9TTy/jx42FsbIwjR468985eHoWFhaGysvKtO26Kmj8AvLdTPzw8HGVlZejQoYNKPMGLlrfX19fHxo0b8eLFC7ZDkjmGYfD111/D3Nwc+/fvR1xcHCtxKFVyEbUvX79+HU2bNsXQoUNV76lFRPT0oq5evWVyjT3qlZ2trS2GDBmCnJwc7N27V6HuXgkhuHz5MgCgW7duby2/otGPMTEx7/ys69evv/ezlI27uzsmTpyInJwcVu/c2WRjY4MpU6agsLAQQUFBrJwDpUouZWVlWLZsGYRCIb7//nvxjncqiWGA9u0BLy/g0aPqjcVUBMMw8Pf3h5aWFrZv3y63+13Up6ysDLdv3xYvVvk29vb20NDQQEJCwlsvHAKBAPfv34empiZatWolrZDljqjfwdTUFLt370Z8fDzbIckcwzCYPn06zM3NcfDgQVaeXpQmuRBC8M8//yAiIgIdO3YUL1Gu0jQ1gS++qN4uee9elWkaA4BmzZqhS5cuSEhIwJkzZ1h9enn16hVKSko+KIa4uDikpKTA3d0dVlZWb32fubk59PT0kJ6e/tblPnJzc5GYmAgLCwvY2dl9cvyKqFGjRpg8eTJev36NP/74QyWfXqytrTF58mQUFhZi7dq1Mj8HSpNcsrKy8PPPP4PL5eLnn39W6FVfJYZhgGHDqjv2jx+vHj2mItTU1DBz5kwwDIM///wTVSw1CxYXF2PUqFEYOnQokpKS3plgCCE4deoUqqqq0K9fP/FilfXR1dWFpaUl8vLykJeXV+97YmNjUVhYiKZNm6pc36NoxWwLCwscOHDgnc2HyophGEybNg1mZmY4cOAAEhMTZfr9SpFchEIhfv31V6SkpGDEiBG1FvpTeY0aAV26VO9aee2ayjy9MAyDnj17wsvLC/fu3cP9+/dZeXopLCxESUkJzp07h169eiE0NPSty6KXl5fj0KFD0NDQeO8iq1wuFw4ODigvL0daWlqd1wkhuHfvHoRCITp06CCx41Ek1tbWmDp1KoqKilT26cXW1haTJk3C69evsW7dOpnWAYVPLoQQ3Lp1C9u3b4eFhQWWLl1a7wgblcXhVG8oBgD79qlMcgGq11uaPn06qqqqWFsOw9raGqdPn8aUKVOQnp6OESNGYOnSpXWayQghuHLlCp4+fYrWrVt/0DIt7u7uEAqFb+1TuH37tnh7YFW82RL1O1haWuLw4cMq+/Ti7+8PExMT7Nu376NW0m4ohU8uRUVFmD9/PsrLy7F48WI0btyY7ZDkC8MAPXoA5ubAlStAZibbEckMwzAYPnw4rK2tERoaKvNmARETExP89ddf2LhxI3R0dPDLL79g6NChiI2NFd9Nl5aW4rfffoNQKMTMmTPfu3IxwzDw9PQEADx9+rRO4iwrK0NkZCT09PTEw5ZVkZWVlfjpha1RU2xr1KgRJkyYgIKCApneZCl0chEKhVi9ejUiIiLQrVs3fPnllyp5h/ZeJiaAjw+QlwecP69STy+mpqYYO3YsioqKsH37dtY69rlcLr788kucPXsWrVq1wrlz5/DZZ5/hm2++wZ07dzB//nzcunUL7dq1w+DBgz+oHLu5uYHD4eDZs2d1Xnv58iVevnwJBwcHmJqaSuOQFALDMJg6dSrMzc1x6NAhVmess4VhGMyYMQNGRkbYvXu3zNYcU9jkQgjB/fv3sXr1ahgaGiIoKAhaWlpshyWfGKZ61BiHA+zfrzKLWQLVFeurr76Cnp4e9u7d+1G7N0ojFm9vb5w7dw4LFiyAUChEUFAQunTpgi1btsDW1hZbtmz54M53Ozs78Hg8JCYm1hmw8PjxY5SXl6NVq1bvHBigCqytrfHll1+isLAQ69evV6h5T5Li4OCAL774Arm5udi8ebNMzoHCJpfCwkLMnj0bxcXF+N///oemTZvSp5Z36dABsLMD7t5VqaX4AcDZ2Rn9+vVDeno6jh49yurFhWEYGBsbY+XKlbh79y4WLlyIrl27Yvr06Th37hyaNGnyweXYxMQEpqamyMjIwOvXr8X/XnMXy86dO6t8vRD1vYj6HZKTk9kOSeYYhsGsWbOgr6+Pv//+GxkZGVL/ToVMLgKBAL/++ivCwsLQo0cP+Pv7q3wFei89verlYIqKgNBQlWoaEy2HweVysWnTJpSXl7MdEjgcDlxcXBAYGIhz585hw4YNcHd3/6hyrKWlBUdHRxQVFdUaMSYQCHDnzh1wudx3TsRUJY0aNcLYsWORn5+vsGvONZSzszOGDRuGrKws/P3331I/BwqXXAghOHv2LNatWwczMzOsX7++zmZKVD0YBhg5ElBTAw4dAt4yHFYZMQyDdu3aoVWrVoiKipKrvV4YhoGamhoYhvnoGySGYdCsWTPw+Xw8efJE/O+5ubmIjY2FlZUVHBwcJB2yQhLdYOjr62PXrl3IVKGBLSIcDgdz5syBjo4Otm7dKvUmYoVKLoQQPH/+HF9//TX4fD5Wrlz50Xd7Kq1VK8DREXjwAGBp5BRbNDQ04O/vD6FQiA0bNijFqCGGYcTLukRERIgTZnR0NF6/fo2WLVuq9hJIb3BycsLQoUORlZWFXbt2yc0Nhix5enpi4MCBSE1Nxb59+6R6DqSaXIRCoUSDf/36Nb766iu8ePECEydOxJgxY2hi+Rja2sDgwUBpKRAcrHJNY4MGDYKdnR0uXbrE2kqxktakSROoq6vj0aNHIISI58sQQtCtWze2w5MrHA4Hs2bNAo/Hw5YtW2r1U6kK0dOLpqYmNm7cKNV196SWXAQCAebOnYtff/0V4eHhH7y20tuUlpZi5syZuHr1Kjp37oyVK1e+dy4A9QaGAYYPB7hc4MgRlVopGQAMDQ0xduxYlJSUYMeOHUpx52pvbw8jIyPExsaiqKgIAoEAFy5cAJfLVamVkD9Us2bN0KtXLyQnJ7M+uIMNDMOgdevW6NatG+Lj4xESEiK1cyC15JKTk4MDBw7ghx9+QOfOndG2bVvMmTMH586dQ05Ozgc/1RBCUFRUhK+//hr//PMP3NzcsGvXLhgaGkordOXWrBng7g5ERQFPn7IdjUwxDIOJEydCV1cX+/fvR35+PtshNZiBgQHc3d2RnZ2NhIQEpKSk4MmTJ7C3txcvy0/9h8PhYN68eVBXV8f69evfuuinMlNTU8O8efOgpqaGtWvXSm2Ai9SSi7GxMYKDg/HDDz+gWbNmePHiBdavX48BAwbA29sbY8aMwT///IMXL16Az+fXm2gIIUhKSsKoUaOwa9cuODk54dChQ3BwcKB3ZJ9KUxMYOrR6peRjx9iORuYcHR3h4+OD9PR0nDx5ku1wGozD4aB79+7g8/m4ePEi9u/fj5KSEvTr148OdKkHwzDo1KkT2rVrh6ioKFy4cIHtkGSOYRh07doVrVu3xuPHj3Hp0iWpfI/UkguXy0XHjh2xbNky3LhxA2FhYVi/fj169+6NsrIyHDx4EOPGjUPLli3Rv39/bNy4EVFRUcjLy0N+fj6ePXuGX3/9FV26dMHp06fh7e2NEydO0PksDcUwwJAhgJZWdXJRsTs3DoeD6dOng8PhYPPmzaisrGQ7pAZhGEa8gvLu3buxefNm8Hg8TJ48mdaTt+ByuZg7dy4AYO3ataytmM0mDQ0NzJ07F4QQrF27Fnw+X+LfIfWpuwzDQFNTEx4eHnB3d4e/vz8yMjJw+/ZthIaG4vr167h8+TIuXLgAHo8HIyMjcDgc5Ofno6SkBDo6OpgxYwaWLFkCU1NTWmEkwc0NaN4ciIio3khMhTAMg86dO8PLywvh4eF48OAB2yE1WIsWLdCyZUuEhYUBAHx9feHl5cVyVPKLYRj06dMHbm5uuHXrFiIiItgOSeYYhkH//v3h5uaGGzduIDw8XOLfIdOhyKIx/ba2thg+fDh27NiBiIgInDp1CrNnz0aTJk3A4XAgFArh7OyM2bNn49q1a+I5LTSxSIi6OjBqFGBqqnJDkoHqyYdfffUVjI2NlWKXQk1NTaxduxbNmjVDu3btsGLFCnA4CjXLQOZ0dHQwffp0GBkZqeR6Y0D1OZg2bZrUzoHUnlzCw8M/Khn06tULXbp0QWlpKQgh0NbWhqampngBPmkoLi6W6iNxTkSE/CZEMzNg6VJUaGsDWVlS+YqPLQOyZGpqiqVLl0JPTw9ZUjp+QLbn4LvvvoOamhri4+M/KmlKsx7IcxkwMzPDTz/9BAMDA6lOqoyQ4+uAmZkZfvzxRxgYGEi8HjBECuPQ8vPzFeZR09bWFm5ubhL/5Zfk5yM7IgLyPtCRAaBtawszCZ8DWgboOVD14wdU+xxIJblQFEVRqo02zFIURVESp9obPSiSmg+Yctp+S1GUdIkamuS1D6cmhXhyCQoKEg8fvHz5ssot2QAAePiwerOvhw/ZjkSmKisrsXPnTnh5eYFhGDxUseOvydfXF5qampgyZYrSrI32sR48eACGYZRiCPnHyM3NxbJly2Bubg5zc3OFmJ+lEMll1qxZ+Oeff5CVlYWePXuiXbt2OHr0KAQqtGy8qikuLkZQUBCcnJwwadIkODk54ebNm2jZsiXbobFm9+7dWLZsGU6dOgV3d3cMGzZMPLeFUk6pqamYN28e7O3t8dtvv2HkyJG4f/8+NDQ02A7t/YgCEQqF5MyZM6Rbt24EAHF1dSVbtmwh5eXlbIcmfRERhADV/1Vir169Ij/88AMxMjIi6urqZPz48SQ6OprtsORKWVkZ2bJlC3F2diYASPfu3cnZs2eJUChkOzSpi4iIIABIhJLXg+joaDJ+/Hiirq5OjIyMyA8//ECysrLYDuujKFRyqenevXtkyJAhhGEYYmVlRQIDA0lBQQHbYUmPkieXpKQk8vXXXxMtLS2io6ND5s6dS168eMF2WHKNz+eTw4cPk9atWxMApEWLFmT//v2kqqqK7dCkRtmTy82bN8mgQYMIAGJra0tWr15NioqK2A7rkyhschGJiYkhX331FeFyuURfX58EBASQjIwMtsOSPCVNLo8ePSKjR48mampqxNTUlCxdupTk5OSwHZZCEQqF5NKlS6R3794EAHFwcCB//fUXKS0tZTs0iVPG5CIQCMjJkydJp06dCADi4eFBduzYQSoqKtgOrUEUPrmIpKenk4ULFxI9PT2iqalJpk6dSuLi4tgOS3KUKLkIhUJy5coV0rdvXwKANG7cmKxfv56UlJSwHZrCi4iIICNHjiQcDoeYmZmRX375heTl5bEdlsQoU3KprKwku3btIl5eXgQA6dixIwkJCSECgYDt0CRCaZKLSH5+Pvn111+JhYUFYRiGDBs2jISFhbEdVsMpQXIRCATk6NGjpG3btgQAadq0Kdm3b59SN+OwJSEhgfj7+xNNTU2iq6tL5s+fT1JTU9kOq8GUIbkUFRWRoKAgYmdnRwCQAQMGkBs3brAdlsQpXXIRKSsrI5s2bSJOTk4EAOnZsyc5f/684nZ6KnByKS8vJ9u2bSOurq4EAOnatSv5f3t3HhLF/8YB/JnZ9Ne2+U00y1Q61kS7KJUOoijCtIgOvx0UJpUYUalFRGVRdPyi6FwqCCs7iMKigwrFyKgoIjosi06zw9QOzSMTLXfn/fuj34qWbWozOzPr8wL/2d3ZfZblmbczn898JiMjQ7+/hY58+PABK1euhKenJ9zc3DBnzhw8efJE7bJaTM/hUlxcjDVr1sDLywsGgwGxsbF4+PCh2mUpxmXDxc5qteLEiRMICwsDESEsLAxpaWmwWq1ql9Y8OgyXiooKbNmyBX5+fhAEAdHR0bh165baZbVKX758wbZt2+Dn5wciwsSJE3Hz5k21y2o2PYbL69evkZCQAKPRiHbt2iEpKQlv3rxRuyzFuXy42EmShEuXLiEiIgJEhMDAQOzdu1c/g546Cpf3799jxYoV6NChA9zc3BAXF4enT5+qXRbDj6PI1NRUBAcHg4gwfPhwpKen6+YoUk/hkpOTg5iYGBgMBnh7e2Pt2rWtarJKqwmX+u7evYupU6dCFEV06tQJGzduRFlZmdplOaaDcMnNzcW8efPqzvMvXboUBQUFapfFGmGz2XD27FkMHjy4bvzr6NGj+P79u9qlOaT1cJEkCdeuXcPYsWNBROjatSt27dqFr1+/ql2a07XKcLGrvzP08PDQ9s5Qw+Fy7949TJs2rUFYu9IMJVcmSRKuXr1atzPs1q2bpneGWg0Xe1gPGTIERIS+ffvqIqyV1KrDxe79+/dITk7W9mkcjYXLz6cZzWazvk4zsl/o4TSO1sLl27dvSE1NRUhIiC5PMyqJw6Ue+wB0ly5dtDcArZFwsVqtOHnyJMLDw0FECA0NRVpaGk8ndiE/D0AvWrRIM6slaCVc7BMk/P39dT1BQkkcLo2oqanB/v37tTV1VuVwsU/ttq9npfup3eyPPn36VDd1tk2bNoiNjcWjR49UrUntcPl5avfs2bPx+PFjVWrROg4XB6xWa4OL/vr376/eRX8qhYvLXpTKmkxLF/2pFS55eXmYP38+2rZt61IXpSqJw6UJ7MuVREVFqbdciZPDpf5yOu7u7q63nA5rNi0sV+LscMnOznbp5XSUxOHSTPfv38eMGTMgiiI6duyI9evX4/Pnz8p/sJPC5fnz54iPj4e7u3vdQqBFRUWKfibTF5vNhvPnz9cttNi7d28cPnzYKQstOiNc7AuBRkZGuvxCoEricGmhxpaIz8/PV+4DFQ6X+rcw8PX1df1bGDBZOHuJeCXD5edbGPTv39/lb2GgJA6Xv/Tx48cGN7eaNWuWMgN8CoSLJEnIzMysu/laUFAQ9u/f3zpuvsZk9fPNrVavXo1Pnz7J/jlKhEtNTQ327duHoKCgVnfzNSVxuMiksrISO3bsQEBAAIgI48ePx40bN+T7ABnDpba2FsePH8eAAQNARBg4cCBOnTqlv/XWmOa8ffsWixcvhslkgtFoxMKFC/Hq1SvZ3l/OcCkvL8fmzZvh6+sLQRAwefJk3L59W4YqGcDhIrtv377h0KFD6NWrF4gIw4YNw4ULF/5+0FOGcKmqqsKePXvQo0cPEBEiIyNx+fJl/g+Nya6kpATr1q1Dx44dYTAYMGPGDDx48OCv31eOcCkqKsLy5cvxzz//wN3dHfHx8Xj27Nlf18Ya4nBRiM1mw7lz5zB06FAQEfr06YMjR460fDmIvwiX0tJSbNiwAT4+PhBFEdOnT0d2dnbL6mCsGaqqqrB79250794dRIQxY8bgypUrLf6H5m/C5cWLF5g7dy7c3d3h4eGBZcuWobCwsEV1sD/jcHGC69evY9y4cXUL2Vkslmat3SRJEkqzsgAilGZlNbkx3717hyVLlsBkMqFt27ZYsGAB8vLyWvo1GGux2tpaHDt2DP369QMRYdCgQThz5kyzjuglSUJWVhaICFnN6IM7d+5gypQpEAQBnTt3xqZNm7S/UK0L4HBxoocPHyI2NhYGgwFeXl5Ys2YNiouLf/v6srIyWCwWBAYGIpQIIELo/28XYLFYftsgT548wezZs+Hm5gZPT0+sWrUKHz9+VOhbMdZ0kiQhIyMDI0aMABEhODgYBw4ccDiJpH4fEFHdn6M+kCQJFy9exKhRo0BE6NmzJ1JSUlBdXa3gt2P1cbio4M2bN0hKSkK7du1gNBqRmJj4y82DMjMzYTKZIAgCBEFoEC72x0wmEzIzM+u2uXnzJiZMmAAigr+/P7Zv344vX744++sx1iS3bt1CdHQ0BEGAn58ftm7dioqKigav+bkP6odLY31QW1uLtLQ0hIaGgogQHh6OkydP8mQVFXC4qKikpARr166Ft7c3DAYDYmJikJOTg8zMTBgMBoiiWNdI9cPF/pgoihBFEevWrcPw4cNBRAgJCcHBgwedckEbY3J4+vQp4uLi4Obmhg4dOiA5ORkfPnxotA8a+7P3QUJCAsxmM4gIo0ePbtapMyY/AQCIqaqqqopSU1Np+/btlJ+fTwaDgSRJovo/TSgRZRNRGBHdb+Q9Bg4cSCtXrqQJEyaQKIpOqpwx+RQWFtLOnTspJSWFamtryWazkc1mo+bsoqKjo2nVqlUUHh6uYKWsKXgvpAEmk4mSkpLo5cuXNHPmTIcNZfvNe8TExNCkSZM4WJhu+fv707Zt2yg/P58iIiLIarU2K1iIiEaOHMnBohF85KIhACgoKIjy8vJ+ea4fEf1LRP+lXwNGEAQym82Um5tLgiA4oVLGlOOoDxzhPtAWDhcNKSkpIR8fn0af+w/9OMxsT0TFDrb39vZWqDrGnMNRHzR1e+4D9fE5FA35+vXrb5/rSkT5RBTgYPvKykq5S2LM6Rz1QVNwH2gDh4uGtG/f/rfPFRBRJBE9c7C9h4eH3CUx5nSO+qApuA+0gcNFQ7y9vSkwMLDR88XV9GOWWHUj2wmCQIGBgeTl5aV0iYwpzlEfOMJ9oC0cLhoiCAIlJia2aNukpCQexGQugfvANfCAvsaUl5dTQEAAVVdXkyRJf3y9KIpkNBqpoKCAPD09lS+QMSfgPtA/PnLRGE9PTzp9+jQJgvDHa1ZEUSRBEOjMmTPcUMylcB/oH4eLBkVFRVF6ejoZjUYSBOGXw3z7Y0ajkTIyMigyMlKlShlTDveBvnG4aFRUVBQVFBSQxWIhs9nc4Dmz2UwWi4UKCwu5oZhL4z7QLx5z0QEAVFpaSpWVleTh4UFeXl48aMlaHe4DfeFwYYwxJjs+LcYYY0x2HC6MMcZkx+HCGGNMdhwujDHGZMfhwhhjTHYcLowxxmTH4cIYY0x2HC6MMcZkx+HCGGNMdhwujDHGZMfhwhhjTHYcLowxxmTH4cIYY0x2HC6MMcZk9z/7kPEGeKZ1xQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,0,1,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,0,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1e7cd4a8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9238051772117615\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(0,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(0,1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "18e0baa2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.9996684193611145\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(1,0,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(1,0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "50eb8f8c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r2 is 0.8713403344154358\n",
      "r2 is not very high, please double check if you are choosing the correct symbolic function.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.fix_symbolic(2,1,0,'sin')\n",
    "model.plot(beta=beta)\n",
    "model.unfix_symbolic(2,1,0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "960e5447",
   "metadata": {},
   "source": [
    "### Indexing of nodes (neurons)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4a7880f",
   "metadata": {},
   "source": [
    "Each neuron (node) is indexed by $(l,i)$ where $l$ is the layer index along depth, $i$ is the neuron index along width. In the function remove_node, we use use $(l,i)$ to indicate which node we want to remove."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c9e70d77",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model.remove_node(1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a22c9e31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "44553b6a",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.remove_node(2,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7c9b491a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7b24fcdb",
   "metadata": {},
   "outputs": [],
   "source": [
    "model.remove_node(1,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0a7e9373",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x600 with 21 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=beta)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ee64af1",
   "metadata": {},
   "source": [
    "### Indexing of layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4c732dfc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2 3\n",
      "2 3\n",
      "3 5\n",
      "3 5\n",
      "5 1\n",
      "5 1\n"
     ]
    }
   ],
   "source": [
    "# KAN spline layers are refererred to as act_fun\n",
    "# KAN symbolic layers are referred to as symbolic_fun\n",
    "\n",
    "model = KAN(width=[2,3,5,1])\n",
    "\n",
    "i = 0\n",
    "model.act_fun[i] # => KAN Layer (Spline)\n",
    "model.symbolic_fun[i] # => KAN Layer (Symbolic)\n",
    "\n",
    "for i in range(3):\n",
    "    print(model.act_fun[i].in_dim, model.act_fun[i].out_dim)\n",
    "    print(model.symbolic_fun[i].in_dim, model.symbolic_fun[i].out_dim)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1f0ccc8f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Parameter containing:\n",
       "tensor([[0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# check model parameters\n",
    "model.act_fun[i].grid\n",
    "model.act_fun[i].coef\n",
    "model.symbolic_fun[i].funs_name\n",
    "model.symbolic_fun[i].mask"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
